Inequalities in One Variable

Question 1

What is the solution to the given inequality? one-half minus one-fourth x is greater than or equal to negative one-fourth

Revolt · Accepted Answer

x ≤ 3

Question 2

⇒ 2

Revolt · Accepted Answer

62276

Question 3

The club can buy up to 14 canvases.The club can buy at least 14 canvases. ✔ The club can buy up to 15 canvases.The club can buy at least 15 canvases.

Revolt · Accepted Answer

✔ The club can buy up to 15 canvases.

Question 4

The solution to an inequality is (–∞, 6.5]. Is 6.5 a solution to the inequality? Explain your answer.

Revolt · Accepted Answer

The solution includes numbers from negative infinity to 6.5. Because a bracket is used, the solution includes 6.5.

Question 5

Let x represent the number of canvases. Which inequality can be used to find x?

Revolt · Accepted Answer

350 ≥ 125 + 15x

Question 6

Which values are solutions to 90 < –30p + 15? Check all that apply.p = –10p = 0p = –2.5p = 3p = –5p = 7.6

Revolt · Accepted Answer

p = –10; p = –5

Question 7

The inequality 10.45b + 56.50 < 292.67 is used to find the number of boxes (b) that can be loaded on a truck without exceeding the weight limit of the truck. The solution is written as {b | b < 22.6}. Which statement best describes the meaning of the solution?

Revolt · Accepted Answer

The truck can hold up to 22 boxes.

Question 8

The temperature of magnesium must be at least 650 degrees for the metal to melt. A sample of magnesium is currently 255 degrees. The temperature of the magnesium is increased by 10 degrees every minute. Which inequality shows the number of minutes (m) needed to raise the temperature to the melting point?

Revolt · Accepted Answer

m ≥ 39.5

Question 9

Which inequality is true for all real numbers? Check all that apply.a – b d, then a– c < a – dIf a < b, then a < b + c

Revolt · Accepted Answer

If a ≥ b, then a + c ≥ b + c; If c > d, then a– c < a – d

Inequalities in One Variable Answers

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