9
QuizMultiple Choice

Solving One-Variable Inequalities

Question 9 • AZ-Algebra 1A (MA101)

Which is a correct first step in solving the inequality –4(2x – 1) > 5 – 3x?

Answer
A
Distribute –4 to get –8x + 4 > 5 – 3x.
B
Distribute –4 to get –8x – 1 > 5 – 3x.
C
Subtract 2x from both sides of the inequality.
D
Add 1 to both sides of the inequality.

Explanation

A correct first step is to distribute −4 to both terms inside the parentheses: −4(2x) = −8x and −4(−1) = +4. This gives −8x + 4 > 5 − 3x, so the correct choice is A. Choice B gets the sign of the second term wrong.

AI-written and checked against the verified answer.

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