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AssignmentMultiple Select

Solving One-Variable Inequalities

Question 6 • 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.

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

Explanation

Distribute and combine terms: 4(2 − x) = 8 − 4x, and −2x − 3(4x + 1) = −14x − 3. Thus 8 − 4x > −14x − 3 simplifies to x > −1.1. The values 0 and 10 are greater than −1.1, so the correct choices are C, x = 0, and E, x = 10; x = −1.1 is not included because the inequality is strict.

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