QUESTION IMAGE
Question
- what is the solution set for $-7x + 4 > -31$?
options:
$x < 5$
$x < -5$
$x > 5$
$x > -5$
Step1: Subtract 4 from both sides
$-7x + 4 - 4 > -31 - 4$
$-7x > -35$
Step2: Divide by -7, reverse inequality
$\frac{-7x}{-7} < \frac{-35}{-7}$
$x < 5$
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$x < 5$ (Option A: $x < 5$)