Solving Inequalities by Adding and Subtracting

solve 5(6 + 3r) + 7 ≥ 127

• r ≤ 6

• r ≥ 6

• r ≤ -6

• r ≥ -6

Solve the following inequality:
-4x + 14 ≤ 54

• x ≥ -10

• x ≤ -10

• x ≥ 17

• x ≤ 17

Jeff bought a bottle of water for $2. He also bought some hot dogs for $3 each. Jeff did not spend more than $14 on the hot dogs and the bottle of water. Which inequality can be used to find h, the number of hot dogs that Jeff could have bought?

• 3h − 2 ≤ 14

• 3h + 2 ≤ 14

• 3h − 2 ≥ 14

• 3h + 2 ≥ 14

What inequality does the number line graph represent?

• x ≤ -4

• x ≥ -4

• x < -4

• x < 4

Solve the inequality.
x + 5 ≤ 13

• x ≥ 8

• x ≥ 18

• x ≤ 8 

• x ≤ 18 

Which number line represent the solution to the inequality −7x −13 ≥ 8?

• Line A

• Line B

• Line C

• Line D

The solution to the inequality 5x − 4 > 21 is represented by which number line?

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What is the expression that matches this situation? You must be at least 48 inches tall to ride the bumper cars.

• h < 48

• h > 48

• h ≤ 48

• h ≥ 48

What is the expression that matches this situation?

You can spend no more than 20 dollars on your mom's birthday present.

• x > 20

• x < 20

• x ≤ 20

• x ≥ 20

x + 5 > 7

• x > -2

• x > 2

• x > 12

• x > -12