6th Grade Math Flashcards: Write And Represent Simple Inequalities

What this deck covers

This deck focuses on Write And Represent Simple Inequalities, 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: Which inequality represents the statement: "$x$ is more than $7$"?

Answer: $x>7$. "More than" translates to the greater than symbol $>$.

Flashcard 2: Which inequality matches this description: "All numbers to the left of $-6$"?

Answer: $x < -6$. "To the left of" means less than on a number line.

Flashcard 3: Which inequality represents the statement: "$x$ is fewer than $12$"?

Answer: $x<12$. "Fewer than" translates to the less than symbol $<$.

Flashcard 4: Which inequality represents "temperature must be above $32$" using $t$?

Answer: $t>32$. "Above" means greater than in mathematical terms.

Flashcard 5: Which inequality represents "a number is less than $-3$" using $x$?

Answer: $x<-3$. "Less than" translates to the $<$ symbol with negative values.

Flashcard 6: Identify the correct inequality for: "At least $10$" (choose $x>10$ or $x<10$).

Answer: Neither; "at least $10$" is $x\ge 10$. "At least" includes the value, requiring $\ge$ not $>$.

Flashcard 7: What inequality represents: "The score $s$ must be under $70$"?

Answer: $s < 70$. "Under" means less than when referring to limits or bounds.

Flashcard 8: What does the inequality $x > 7$ mean in words?

Answer: $x$ is greater than $7$. The symbol $>$ means the value on the left exceeds the value on the right.

Flashcard 9: Identify one integer that is a solution to $x<-1$.

Answer: $-2$. Any integer below $-1$ satisfies the inequality.

Flashcard 10: Which inequality represents "the price must be less than $25$ dollars" using $p$?

Answer: $p<25$. Price constraint uses $<$ for upper limit.

Flashcard 11: Which number line description matches $x < 5$: open circle at $5$ and shading where?

Answer: Open circle at $5$ and shading to the left. Values less than $5$ are to the left on a number line.

Flashcard 12: What does the inequality symbol $<$ mean when comparing $x$ and $c$?

Answer: $x$ is less than $c$. The symbol $<$ indicates the first value is smaller than the second.

Flashcard 13: What can you conclude about the number of solutions to $x>c$ or $x<c$?

Answer: There are infinitely many solutions. All real numbers satisfying the condition form the solution set.

Flashcard 14: Find whether $x=4$ is a solution to $x>4$.

Answer: No, because $4$ is not greater than $4$. Strict inequality excludes the boundary value itself.

Flashcard 15: On a number line, which direction is shaded for the solution set of $x>c$?

Answer: Shade to the right of $c$. Greater than means values increase to the right.

Flashcard 16: What type of dot is used on a number line for $x>c$ or $x<c$ (strict inequality)?

Answer: An open circle at $c$. Open circles exclude the endpoint for strict inequalities.

Flashcard 17: Choose the correct number line description for $x<6$: open circle at $6$, shade left or shade right?

Answer: Open circle at $6$; shade left. For $<$, shade toward smaller values (left on number line).

Flashcard 18: What inequality represents: "The depth $d$ is below $-20$ meters"?

Answer: $d < -20$. "Below" means less than when referring to position or depth.

Flashcard 19: What kind of point marks the boundary for $x>c$ or $x<c$ on a number line?

Answer: An open circle at $c$. Open circles show the boundary value is not included in the solution.

Flashcard 20: What does the inequality $x < -3$ mean in words?

Answer: $x$ is less than $-3$. The symbol $<$ means the value on the left is smaller than the value on the right.

Flashcard 21: Which symbol represents "less than" in an inequality: $<$ or $>$?

Answer: $<$. The arrow opens toward the larger value.

Flashcard 22: Which inequality represents: "You must be older than $13$ years" (let age be $a$)?

Answer: $a>13$. "Older than" means age exceeds the given value.

Flashcard 23: Which inequality represents "you must be older than $13$" using $a$?

Answer: $a>13$. "Older than" means age is greater than the given value.

Flashcard 24: What does the inequality symbol $>$ mean when comparing $x$ and $c$?

Answer: $x$ is greater than $c$. The symbol $>$ indicates the first value exceeds the second.

Flashcard 25: Which symbol represents "less than" in an inequality?

Answer: $<$. The arrow points toward the smaller value.

Flashcard 26: Which inequality matches the solution set shown by shading right of $2$ with an open circle at $2$?

Answer: $x>2$. Shading right with open circle means values greater than boundary.

Flashcard 27: Which set description matches $x<-2$: values greater than $-2$ or values less than $-2$?

Answer: Values less than $-2$. The symbol $<$ means not reaching the given value.

Flashcard 28: Identify the correct inequality for: "At most $10$" (choose $x>10$ or $x<10$).

Answer: Neither; "at most $10$" is $x\le 10$. "At most" includes the value, requiring $\le$ not $<$.

Flashcard 29: Identify one integer that is a solution to $x>5$.

Answer: $6$. Any integer above $5$ satisfies the inequality.

Flashcard 30: What does it mean that $x>c$ has infinitely many solutions?

Answer: There are endlessly many numbers greater than $c$. Any value beyond $c$ satisfies the inequality.

Flashcard 31: Identify the correct inequality for: "At least $10$" (variable $x$).

Answer: Not possible with only $x > c$ or $x < c$; it needs $x \ge 10$. "At least" includes the value itself, requiring $\ge$ not $>$.

Flashcard 32: What does the inequality $x>c$ mean in words?

Answer: $x$ is greater than $c$. The symbol $>$ means the value on the left exceeds the value on the right.

Flashcard 33: Identify the correct inequality for: "No more than $4$" (variable $x$).

Answer: Not possible with only $x > c$ or $x < c$; it needs $x \le 4$. "No more than" includes the value itself, requiring $\le$ not $<$.

Flashcard 34: Which inequality represents "the height must be under $60$ inches" using $h$?

Answer: $h<60$. "Under" means less than in mathematical terms.

Flashcard 35: What direction is shaded on a number line for the solutions to $x < c$?

Answer: Shade to the left of $c$. Values less than $c$ are to the left on a number line.

Flashcard 36: Which symbol represents "greater than" in an inequality: $>$ or $<$?

Answer: $>$. The arrow points toward the smaller value.

Flashcard 37: On a number line, which direction is shaded for the solution set of $x<c$?

Answer: Shade to the left of $c$. Less than means values decrease to the left.

Flashcard 38: Which inequality represents the statement: "The temperature $T$ is above $0$"?

Answer: $T>0$. "Above" means greater than, so use $>$ with the reference value.

Flashcard 39: What inequality represents: "A number $x$ is more than $12$"?

Answer: $x > 12$. "More than" translates to the greater than symbol.

Flashcard 40: Which inequality represents: "A number $n$ is less than $-4$"?

Answer: $n<-4$. Place the variable on the left with $<$ for "less than."

Flashcard 41: Which inequality represents "a number is more than $7$" using $x$?

Answer: $x>7$. "More than" translates to the $>$ symbol.

Flashcard 42: What type of dot is used at $c$ on a number line for $x > c$?

Answer: An open circle at $c$. Open circles exclude the boundary value in strict inequalities.

Flashcard 43: Which inequality models: "The number of pages $p$ read must be less than $50$"?

Answer: $p<50$. "Must be less than" directly translates to $<$.

Flashcard 44: What inequality represents: "You must be older than $13$ years" (age $a$)?

Answer: $a > 13$. "Older than" means age is greater than the given value.

Flashcard 45: Which inequality matches the solution set shown by shading left of $-1$ with an open circle at $-1$?

Answer: $x<-1$. Shading left with open circle means values less than boundary.

Flashcard 46: Identify a value that is a solution to $x<-2$: $-3$, $-2$, or $0$.

Answer: $-3$. Only $-3$ is less than $-2$; others don't satisfy the inequality.

Flashcard 47: Which values are solutions to $x < -1$: $-1$, $-1.5$, $0$, $-10$?

Answer: $-1.5$ and $-10$. Solutions must be strictly less than $-1$.

Flashcard 48: What inequality represents: "A number $x$ is fewer than $5$"?

Answer: $x < 5$. "Fewer than" means less than in mathematical terms.

Flashcard 49: How many solutions does the inequality $x > 2$ have?

Answer: Infinitely many solutions. Any number greater than $2$ is a solution.

Flashcard 50: Which symbol represents "greater than" in an inequality?

Answer: $>$. The arrow points toward the smaller value.

Flashcard 51: Which values are solutions to $x > 4$: $4$, $4.1$, $-2$, $10$?

Answer: $4.1$ and $10$. Solutions must be strictly greater than $4$.

Flashcard 52: What inequality represents: "The temperature $t$ is above $0$"?

Answer: $t > 0$. "Above" means greater than when referring to position or value.

Flashcard 53: Which set description matches $x>3$: values greater than $3$ or values less than $3$?

Answer: Values greater than $3$. The symbol $>$ means exceeding the given value.

Flashcard 54: Which inequality matches this description: "All numbers to the right of $3$"?

Answer: $x > 3$. "To the right of" means greater than on a number line.

Flashcard 55: What does the inequality $x<c$ mean in words?

Answer: $x$ is less than $c$. The symbol $<$ means the value on the left is smaller than the value on the right.

Flashcard 56: Identify a value that is a solution to $x>4$: $3$, $4$, or $5$.

Answer: $5$. Only $5$ is greater than $4$; others don't satisfy the inequality.

Flashcard 57: Which inequality represents the statement: "The depth $d$ is below sea level ($0$)"?

Answer: $d<0$. Below sea level means negative depth, less than zero.