Writing Inequalities

Question 1

Which inequalities have -0.5, 2.5, and 4 as part of the solution set? Select all that apply.

Revolt · Accepted Answer

A: z > -3; B: z < 5; D: z 4

Question 2

Which inequalities would have an open circle when graphed? Check all that apply.

Revolt · Accepted Answer

C: x > 5.4; D: ; E: x > 0

Question 3

Which inequality is graphed?

Revolt · Accepted Answer

C: 2 x

Question 4

Which symbol completes the inequality represented on the graph? z _____ 1.5

Revolt · Accepted Answer

A: >

Question 5

Which statements are true about y 8 and its graph? Check all that apply.

Revolt · Accepted Answer

A: y = 0 is part of the solution set.; B: y = 8 is part of the solution set.; E: There is a closed circle on the graph at 8.; F: The arrow on the graph points left.

Question 6

Which statements are true about the graph of –6.5 < x? Check all that apply.

Revolt · Accepted Answer

A: There is an open circle on –6.5.; D: The graph includes the point 6.5.; F: The arrow points to the right.

Question 7

Which inequality does the graph represent?

Revolt · Accepted Answer

A: x > 17

Question 8

Which list contains values that are all part of the solution set of the graphed inequality?

Revolt · Accepted Answer

C: 1.1, 1.5, 19.7, 8.2

Question 9

A graph of an inequality includes an open circle and an arrow pointing left. Explain how you would use that information to choose which symbol to use to write an inequality.

Revolt · Accepted Answer

Since the circle is open, the symbol must be < or >, because the boundary point is not included. The arrow points left, so the solution set includes all values less than the boundary point. I would use < in my inequality.

Question 10

Anise wants to have longer hair than her sister. Her sister’s hair is 2.25 feet long. How long does Anise’s hair have to be? Which graph represents the scenario?

Revolt · Accepted Answer

B: A number line going from negative 3 to positive 5. An open circle is at 2.25. Everything to the right of the circle is shaded.

Writing Inequalities Answers

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