Solutions to Inequalities Select All That Apply

x + 5 < 8 and x + 5 > 8

How do the solutions of the two inequalities differ? Select all that apply.

• Both solutions equal 3.

• One solution includes all numbers less than 3 and one solution includes all numbers greater than 3.

• When you graph the solutions, one has an open dot and one has a closed dot.

• When you graph the solutions, both are graphed with an open dot.

• One solution is 3 and the other is -3

x + 5 > 3

Solve and graph the inequality.

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CCSS.7.EE.B.4B

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CCSS.7.EE.B.4B

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CCSS.7.EE.B.4B

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CCSS.7.EE.B.4B

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CCSS.7.EE.B.4B

Kyoko has completed 26 hours of community service. Her goal is to complete at least 90 hours this semester. Write and solve an inequality to show how many more hours Kyoko needs to complete her goal.

• h + 26 ≤ 90, h ≤ 64

• h + 26 ≥ 90, h ≥ 64

• h + 90 ≤ 26, h ≤ -64

• h + 90 ≥ 26, h ≥ -64

On a math test, students must solve x - 5 < 11 and then graph the solution. Mason said the solution is x < 6. Which statements accurately reflect the solution? Select all that apply.

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• Mason solved the inequality correctly.

• Mason solved the inequality incorrectly.

• The solution is x < 16

Tags

CCSS.7.EE.B.4B

Dani's neighbors paid her to take care of their bird during their vacation. Dani spent $4 of her earnings on an afternoon snack and $16 on a new book. Afterward, she had at least $8 left. Which inequalities represents how much Dani's neighbors paid her? Select all that apply.

• x - 4 - 16 ≥ 8

• x - 20 ≥ 8

• x + 4 + 16 ≥ 8

• x + 20 ≥ 8

• x + 12 ≥ 8

Kendra has $7.35 in her purse. She needs at least $2.87 more to buy a special bread. What is the total amount, x, she needs for the bred? Which inequalities can be used to represent the situation? Select all that apply.

• x ≥ 10.22

• x ≥ 4.48

• x + 7.35 ≥ 2.87

• x - 7.35 ≥ 2.87

• x - 7.35 ≤ 2.87

Tags

CCSS.7.EE.B.4B