6th Grade Math Flashcards: Interpret Inequalities On Number Lines

What this deck covers

This deck focuses on Interpret Inequalities On Number Lines, giving you a quick way to review the definitions, rules, and examples that matter most for 6th Grade Math.

How to use these flashcards

Work through these flashcards in short sessions. Try to answer each prompt before flipping the card, then revisit any cards you miss until the explanation feels automatic.

Flashcard 1: Find the true inequality: $-1$ compared to $2$ is -1\,_\,2.

Answer: $-1<2$. Negative numbers are always less than positive numbers.

Flashcard 2: Choose the word that completes the statement: If $a<b$, then $a$ is   of $b$ on a number line.

Answer: to the left. Less than means the first number is left of the second.

Flashcard 3: Which inequality is true: $0\le 0$ or $0<0$?

Answer: $0\le 0$. A number is always less than or equal to itself.

Flashcard 4: Choose the correct statement: $-8\le -8$ or $-8<-8$.

Answer: $-8\le -8$. A number is always less than or equal to itself.

Flashcard 5: Identify the correct inequality: $-4\;\square\;-9$ using number line position.

Answer: $-4>-9$. $-4$ is closer to zero than $-9$, so it's greater.

Flashcard 6: Which symbol makes the statement true: $5\ \square\ -1$ if $5$ is right of $-1$ on a number line?

Answer: $>$. Numbers to the right are greater than numbers to the left.

Flashcard 7: Which statement is always true when $a=b$: $a\le b$ or $a<b$?

Answer: $a\le b$. Equal values satisfy $\le$ (less than or equal to).

Flashcard 8: Identify the inequality that matches: "$r$ is not right of $s$ on the number line."

Answer: $r\le s$. Not right means at the same position or to the left.

Flashcard 9: Which symbol completes the statement: $-1\;\square\;0$ to show the true relationship on a number line?

Answer: $<$. Negative numbers are to the left of zero.

Flashcard 10: Which inequality is true if point $p$ is to the right of point $q$ on a number line?

Answer: $p>q$. Right position means greater than the left position.

Flashcard 11: Which inequality correctly matches the number line idea "to the right of $0$": $x>0$ or $x<0$?

Answer: $x>0$. Right of zero means positive, which is greater than zero.

Flashcard 12: Identify the true statement about order on a number line: if $a>b$, which is farther right?

Answer: $a$ is farther right than $b$. Greater values are positioned farther right.

Flashcard 13: Choose the word that completes the statement: If $a>b$, then $a$ is   of $b$ on a number line.

Answer: to the right. Greater than means the first number is right of the second.

Flashcard 14: Identify the correct inequality: $-10\;\square\;-3$ using number line position.

Answer: $-10<-3$. $-10$ is farther from zero than $-3$, so it's less.

Flashcard 15: Identify the correct inequality if $-3$ is to the right of $-5$ on a number line.

Answer: $-3>-5$. On the number line, $-3$ is closer to zero than $-5$.

Flashcard 16: What inequality compares positions correctly if $m$ is 5 units left of $n$ on a number line?

Answer: $m<n$. Being left of another number means less than.

Flashcard 17: Choose the correct inequality: $-1.2\ \square\ -1.02$.

Answer: $-1.2<-1.02$. $-1.2$ is left of $-1.02$ on the number line.

Flashcard 18: Which statement is always true when $a=b$: $a\ge b$ or $a>b$?

Answer: $a\ge b$. Equal values satisfy $\ge$ (greater than or equal to).

Flashcard 19: What does the inequality $a>b$ mean about the positions of $a$ and $b$ on a number line?

Answer: $a$ is to the right of $b$. Greater values are positioned to the right on a number line.

Flashcard 20: Identify the correct comparison: if $a$ and $b$ are at the same point, which statement is always true?

Answer: $a=b$. Same position means the values are equal.

Flashcard 21: What does the inequality $a\le b$ mean about the relative positions of $a$ and $b$ on a number line?

Answer: $a$ is to the left of $b$ or at the same point as $b$. Less than or equal to means left of or at the same position.

Flashcard 22: What does the inequality $a<b$ mean on a number line?

Answer: $a$ is to the left of $b$. Less than means the first number is positioned farther left.

Flashcard 23: Which symbol completes the statement: $-3\;\square\;-7$ to show the true relationship on a number line?

Answer: $>$. $-3$ is closer to zero than $-7$, so it's to the right.

Flashcard 24: Which inequality is true if point $x$ is to the left of point $y$ on a number line?

Answer: $x<y$. Left position means less than the right position.

Flashcard 25: Choose the correct inequality for positions: If $t$ is to the right of $0$, which must be true?

Answer: $t>0$. Numbers right of zero are positive.

Flashcard 26: Which inequality is true if two points are at the same location: $u=v$ or $u>v$?

Answer: $u=v$. Same location means equal, not greater than.

Flashcard 27: What does the inequality $a\ge b$ mean about the positions of $a$ and $b$ on a number line?

Answer: $a$ is right of $b$ or at the same point. Greater than or equal to means right of or at the same position.

Flashcard 28: Which number is to the right on a number line: $\frac{1}{2}$ or $\frac{3}{4}$?

Answer: $\frac{3}{4}$. $\frac{3}{4}=0.75$ is greater than $\frac{1}{2}=0.5$.

Flashcard 29: What does the inequality $a<b$ mean about the positions of $a$ and $b$ on a number line?

Answer: $a$ is to the left of $b$. Smaller values are positioned to the left on a number line.

Flashcard 30: Identify the correct inequality if $x$ is at the same point as $y$ on a number line.

Answer: $x\ge y$ and $x\le y$. Same position means both $\ge$ and $\le$ are true.

Flashcard 31: What does the inequality $a<b$ mean about the positions of $a$ and $b$ on a number line?

Answer: $a$ is to the left of $b$ on the number line. Lesser values appear farther left on the number line.

Flashcard 32: Which inequality matches the number line fact "$0$ is right of $-1$"?

Answer: $0>-1$. Positive numbers are always right of negative numbers.

Flashcard 33: Which symbol makes this statement true: $-2\ \square\ 3$ if $-2$ is left of $3$ on the number line?

Answer: $<$. Numbers to the left are less than numbers to the right.

Flashcard 34: What does the inequality $a\le b$ mean about the positions of $a$ and $b$ on a number line?

Answer: $a$ is to the left of $b$ or at the same point as $b$. Less than or equal to means left of or at the same position.

Flashcard 35: Identify the inequality that matches: "$p$ is not left of $q$ on the number line."

Answer: $p\ge q$. Not left means at the same position or to the right.

Flashcard 36: Which symbol allows $a$ to be at the same point as $b$ on a number line: $<$ or $\le$?

Answer: $\le$. The "or equal to" part of $\le$ includes same position.

Flashcard 37: Which number is less on a number line: $-2$ or $3$?

Answer: $-2$. Negative numbers are always less than positive numbers.

Flashcard 38: What does the inequality $a\ge b$ mean about the positions of $a$ and $b$ on a number line?

Answer: $a$ is to the right of $b$ or at the same point as $b$. Greater than or equal to means right of or at the same position.

Flashcard 39: Which inequality matches this statement: "$-7$ is to the left of $-1$"?

Answer: $-7<-1$. "To the left of" translates to the less than symbol.

Flashcard 40: Which number is less on a number line: $-0.4$ or $0.1$?

Answer: $-0.4$. Negative numbers are left of positive numbers.

Flashcard 41: Identify the correct inequality if $-7$ is to the left of $-2$ on a number line.

Answer: $-7<-2$. Negative numbers increase as they approach zero from the left.

Flashcard 42: Which symbol makes this statement true: $4\ \square\ -1$ if $4$ is right of $-1$ on the number line?

Answer: $>$. Numbers to the right are greater than numbers to the left.

Flashcard 43: Which inequality correctly matches the number line idea "to the left of $0$": $x<0$ or $x>0$?

Answer: $x<0$. Left of zero means negative, which is less than zero.

Flashcard 44: What does the inequality $a>b$ mean on a number line?

Answer: $a$ is to the right of $b$. Greater than means the first number is positioned farther right.

Flashcard 45: Identify the correct inequality: Which is true on a number line, $-5>-2$ or $-5<-2$?

Answer: $-5<-2$. $-5$ is left of $-2$ on the number line, so it's less.

Flashcard 46: Which symbol makes the statement true: $-3\ \square\ 2$ if $-3$ is left of $2$ on a number line?

Answer: $<$. Numbers to the left are less than numbers to the right.

Flashcard 47: Find the true inequality: $3$ compared to $-4$ is 3\,_\,-4.

Answer: $3>-4$. Positive numbers are always greater than negative numbers.

Flashcard 48: Choose the correct inequality: $-\frac{1}{2} \square -\frac{3}{4}$.

Answer: $-\frac{1}{2} > -\frac{3}{4}$. $-\frac{1}{2}$ is right of $-\frac{3}{4}$ on the number line.

Flashcard 49: What inequality compares the positions correctly if $x$ is right of $y$ on a number line?

Answer: $x>y$. Right position means greater than in inequality notation.

Flashcard 50: Which inequality matches this statement: "$-2$ is to the right of $-5$"?

Answer: $-2>-5$. "To the right of" translates to the greater than symbol.

Flashcard 51: What does the inequality $a\ge b$ mean about the relative positions of $a$ and $b$ on a number line?

Answer: $a$ is to the right of $b$ or at the same point as $b$. Greater than or equal to means right of or at the same position.

Flashcard 52: Which inequality is equivalent to "$t$ is not left of $s$ on a number line"?

Answer: $t\ge s$. Not left means either at the same position or to the right.

Flashcard 53: What does the inequality $a\ge b$ mean on a number line?

Answer: $a$ is to the right of $b$ or at $b$. Greater than or equal allows the same position or farther right.

Flashcard 54: Which inequality is true: $-6\le -6$ or $-6<-6$?

Answer: $-6\le -6$. A number is less than or equal to itself (equal part is true).

Flashcard 55: Which inequality is true: $-2<-5$ or $-2>-5$?

Answer: $-2>-5$. $-2$ is closer to zero than $-5$, making it greater.

Flashcard 56: What inequality compares positions correctly if $x$ is 2 units right of $y$ on a number line?

Answer: $x>y$. Being right of another number means greater than.

Flashcard 57: Which number is greater on a number line: $-4$ or $-7$?

Answer: $-4$. $-4$ is to the right of $-7$, so it's greater.

Flashcard 58: What does the statement $a=b$ mean about the positions of $a$ and $b$ on a number line?

Answer: $a$ and $b$ are at the same point on the number line. Equal values occupy the same position on the number line.

Flashcard 59: What inequality compares the positions correctly if $x$ is left of $y$ on a number line?

Answer: $x<y$. Left position means less than in inequality notation.

Flashcard 60: Which symbol completes the statement: $-8\;\square\;-2$ to show the true relationship on a number line?

Answer: $<$. $-8$ is farther from zero than $-2$, so it's to the left.

Flashcard 61: Identify the correct inequality: Which is true on a number line, $0<\frac{1}{3}$ or $0>\frac{1}{3}$?

Answer: $0<\frac{1}{3}$. Positive numbers are always right of zero on the number line.

Flashcard 62: Choose the correct statement: $-2>-5$ or $-2<-5$.

Answer: $-2>-5$. $-2$ is closer to zero, making it greater than $-5$.

Flashcard 63: Find the true statement about number line position: Is $-9$ left or right of $-4$?

Answer: $-9$ is to the left of $-4$. $-9$ is farther from zero than $-4$ on the number line.

Flashcard 64: Which symbol completes the statement: $4\;\square\;4$ to show the true relationship on a number line?

Answer: $=$. A number equals itself at the same position.

Flashcard 65: Choose the correct inequality for positions: If $w$ is to the left of $0$, which must be true?

Answer: $w<0$. Numbers left of zero are negative.

Flashcard 66: What does the inequality $a>b$ mean about the positions of $a$ and $b$ on a number line?

Answer: $a$ is to the right of $b$ on the number line. Greater values appear farther right on the number line.

Flashcard 67: Which number is greater on a number line: $-3$ or $-7$?

Answer: $-3$. $-3$ is right of $-7$ on the number line.

Flashcard 68: Which symbol completes the statement: $0\;\square\;-5$ to show the true relationship on a number line?

Answer: $>$. Zero is to the right of all negative numbers.

Flashcard 69: Find the true statement: Which is correct, $-6\le -6$ or $-6<-6$?

Answer: $-6\le -6$. A number is always less than or equal to itself.

Flashcard 70: What does the inequality $a\le b$ mean on a number line?

Answer: $a$ is to the left of $b$ or at $b$. Less than or equal allows the same position or farther left.

Flashcard 71: What does the inequality $a\le b$ mean about the positions of $a$ and $b$ on a number line?

Answer: $a$ is left of $b$ or at the same point. Less than or equal to means left of or at the same position.

Flashcard 72: Which inequality matches the number line fact "$4$ is left of $9$"?

Answer: $4<9$. Left position translates to the less than symbol.

Flashcard 73: Which symbol makes $a$ strictly to the right of $b$ on a number line: $>$ or $\ge$?

Answer: $>$. Only $>$ excludes the possibility of equal positions.

Flashcard 74: Which number is farther right on the number line: $\frac{1}{2}$ or $\frac{2}{3}$?

Answer: $\frac{2}{3}$. $\frac{2}{3} \approx 0.67 > \frac{1}{2} = 0.5$, so it's farther right.

Flashcard 75: Which inequality is equivalent to "$b$ is to the left of $a$ on a number line"?

Answer: $b<a$. This reverses the order: $b$ left of $a$ means $b<a$.

Flashcard 76: Which inequality is true: $-6<-1$ or $-6>-1$?

Answer: $-6<-1$. $-6$ is to the left of $-1$ on the number line.