Checking Solution to Inequality

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

Which number line best represents the solution to the inequality 3.3w - 9 > -22.2?

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Which situation can be represented by this inequality?

• Felicia has 12 buttons in her collection. She will collect 29 new buttons every year. Felicia collects buttons for k years. For what values of k will Felicia have at least 120 buttons?

• Felicia has 29 buttons in her collection. She will collect 12 new buttons every year. Felicia collects buttons for k years. For what values of k will Felicia have at least 120 buttons?

• Felicia has 29 buttons in her collection. She will collect 12 new buttons every year. Felicia collects buttons for k years. For what values of k will Felicia have at most 120 buttons?

• Felicia has 12 buttons in her collection. She will collect 29 new buttons every year. Felicia collects buttons for k years. For what values of k will Felicia have at most 120 buttons?

What is the solution set for -4x -10 ≤ 2?

• x ≤ -3

• x ≥ -3

• x ≤ 2

• x ≥ 2

The model represents an inequality. What is the solution set for the inequality?

• x ≤ -5

• x ≤ 5

• x ≤ 1

• x ≤ -14

If x = -6, which inequality is true?

• -5 - 3x > 10

• -3 - 5x < -14

• 1 - 2x > 13

• 2 - x < -3

Solve the inequality and determine which values of n below are solutions and which are not. 

8n + 4 < 68

​ Solutions: ​ ​ (a)       ​ (b)        ​ (c)          

Not Solution: ​ (d)   ​ (e)  

• 7.9

• 8

• -8

• 9

• 0

Look at the graphed the inequality on the number line.​ Which inequality is represented by that solution? ​ (a)  

• -10 ≥ 3x + 14

• 3x -14 ≥ 10

• 10 ≤ 3x - 14

• 10 ≥ 3x + 14

What is the solution set of the inequality in the picture?

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The inequality 2c+ 4 < 12 represents the amount of money a student can spend on c candy bars. Solve the inequality and graph your solution on the number line.