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9. what is the solution set for $-7x + 4 > -31$? options: $x < 5$ $x < …

Question

  1. what is the solution set for $-7x + 4 > -31$?

options:
$x < 5$
$x < -5$
$x > 5$
$x > -5$

Explanation:

Step1: Subtract 4 from both sides

$-7x + 4 - 4 > -31 - 4$
$-7x > -35$

Step2: Divide by -7, reverse inequality

$\frac{-7x}{-7} < \frac{-35}{-7}$
$x < 5$

Answer:

$x < 5$ (Option A: $x < 5$)