Solving One-Variable Inequalities

Question 1

Which interval is the solution set to 0.35x – 4.8 < 5.2 – 0.9x?(–∞, –8)(–∞, 8)(–8, ∞)(8, ∞)

Revolt · Accepted Answer

(–∞, 8)

Question 2

The inequality that will determine the number of months, x, that are required for the second phone to be less expensive is [___].

Revolt · Accepted Answer

100 + 55x > 150 + 51x; Selection 1: 100 + 55x > 150 + 51x; Selection 2: x > 12.5; Selection 3: 13

Question 3

The solution to the inequality is [___].

Revolt · Accepted Answer

> 12.5

Question 4

Sal’s mother would have to keep the second cell phone plan for at least [___] months in order for it to be less expensive.

Revolt · Accepted Answer

13

Question 5

[___]

Revolt · Accepted Answer

> –1.25

Question 6

Which student’s first step was incorrect, and why?Amelia’s, because the variable term must be isolated on the left sideLuis’s, because he flipped the inequality sign when he subtractedShauna’s, because she did not apply the subtraction property of equality properly Clarence’s, because the terms he added together were not like terms

Revolt · Accepted Answer

Luis’s, because he flipped the inequality sign when he subtracted

Question 7

Which represents the solution set to the inequality ?x –1x (–∞, –1](–∞, ]

Revolt · Accepted Answer

(–∞, ]

Question 8

Which of the x values are solutions to the inequality 4(2 – x) > –2x – 3(4x + 1)? Check all that apply. x = –1.1x = –2.2x = 0x = –10x = 10

Revolt · Accepted Answer

x = 0; x = 10

Question 9

Question 74565

Revolt · Accepted Answer

(–∞, –4); (–∞, 4)

Question 10

Question 74566

Revolt · Accepted Answer

The inequality that will determine the number of months, x, that are required for the second phone to be less expensive is .: 100 + 55x > 150 + 51x; The solution to the inequality is .: x > 12.5; Sal’s mother would have to keep the second cell phone plan for at least months in order for it to be less expensive.: 13

Solving One-Variable Inequalities Answers

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