Inequalities

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SAT Math › Inequalities

Questions 1 - 10

1

Solve for :

Explanation

The correct method to solve this problem is to substract 5 from both sides. This gives .

Then divide both sides by negative 3. When dividing by a negative it is important to remember to change the inequality sign. In this case the sign goes from a less than to a greater than sign.

This gives the answer .

2

Solve for :

Explanation

The correct method to solve this problem is to substract 5 from both sides. This gives .

Then divide both sides by negative 3. When dividing by a negative it is important to remember to change the inequality sign. In this case the sign goes from a less than to a greater than sign.

This gives the answer .

3

Solve for :

$x\leq11$

Explanation

We want to isolate the variable on one side and numbers on another side. Treat like a normal equation.

Subtract on both sides.

Divide on both sides.

4

Solve for :

$x\leq11$

Explanation

We want to isolate the variable on one side and numbers on another side. Treat like a normal equation.

Subtract on both sides.

Divide on both sides.

5

Solve for .

$x\leq-9$

$x\geq-9$

Explanation

We want to isolate the variable on one side and numbers on another side. Treat like a normal equation.

Subtract on both sides.

Divide on both sides. Remember to flip the sign.

6

Solve for .

$x\leq-9$

$x\geq-9$

Explanation

We want to isolate the variable on one side and numbers on another side. Treat like a normal equation.

Subtract on both sides.

Divide on both sides. Remember to flip the sign.

7

Solve for .

$x\leq-6$

$x\geq-6$

Explanation

We want to isolate the variable on one side and numbers on another side. Treat like a normal equation.

Subtract on both sides.

8

Solve for .

$x\leq-6$

$x\geq-6$

Explanation

We want to isolate the variable on one side and numbers on another side. Treat like a normal equation.

Subtract on both sides.

9

Solve for $x$ .

$-2x+5\leq 10$

$x\geq \frac{5}{2}$

$x\leq \frac{5}{2}$

$x\geq -\frac{5}{2}$

$x\leq 5$

$None\ of\ the\ above$

Explanation

Move +5 using subtraction rule which will give you $-2x\leq 5$ .

Divide both sides by 2 (using division rule) and you will get $-x\leq \frac{5}{2}$ which is the same as $x\geq \frac{5}{2}$

10

If 2 more than is a negative integer and if 5 more than is a positive integer, which of the following could be the value of ?

-7

Explanation

and , so and . The only integers between and are and .

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