74572
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Solving One-Variable Inequalities

Question 74572 • AZ-Algebra 1A (MA101)

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

Answer
A
x = –1.1
B
x = –2.2
C
x = 0
D
x = –10
E
x = 10

Explanation

Distribute on both sides: 8 − 4x > −14x − 3. Adding 14x and then subtracting 8 gives 10x > −11, so x > −1.1. The values 0 and 10 satisfy this strict inequality; −1.1 does not because equality is not allowed, and −2.2 and −10 are less than −1.1.

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