Solving One-Variable Inequalities

Question 1

✔ x > –1.25x –0.8x < –0.8

Revolt · Accepted Answer

✔ x > –1.25

Question 2

x > 2.4x 12.5

Revolt · Accepted Answer

✔ x > 12.5

Question 3

2312✔ 13

Revolt · Accepted Answer

✔ 13

Question 4

Which number line represents the solution to 2.5 – 1.2x < 6.5 – 3.2x?

Revolt · Accepted Answer

Answer image: //media.edgenuity.com/EVresources/3109/3109-04/3109-04-08/3109-04-08-20/3109-04-08-20-03/3109-04-08-20-03-image3.png

Question 5

Which student’s first step was incorrect, and why?

Revolt · Accepted Answer

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

Question 6

Which represents the solution set to the inequality ?

Revolt · Accepted Answer

(–∞, ]

Question 7

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 8

What is the solution to (x + 8) > (2x + 10)?

Revolt · Accepted Answer

(–∞, 4)

Question 9

Question 9

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

Question 10

✔ 100 + 55x > 150 + 51x100 + 55x 150x+ 51100x+ 55 < 150x+ 51

Revolt · Accepted Answer

✔ 100 + 55x > 150 + 51x; 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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