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#4: solve the inequality below. * -4x + 7 ≥ -13 ○ x ≥ 5 ○ x ≤ 5 ○ x ≥ -…

Question

#4: solve the inequality below. *
-4x + 7 ≥ -13
○ x ≥ 5
○ x ≤ 5
○ x ≥ -5
○ x ≤ -5
○ x ≥ 1
○ x ≤ 1

Explanation:

Step1: Subtract 7 from both sides

$-4x + 7 - 7 \geq -13 - 7$
$-4x \geq -20$

Step2: Divide by -4 (reverse inequality)

$\frac{-4x}{-4} \leq \frac{-20}{-4}$
$x \leq 5$

Answer:

$x \leq 5$ (corresponding to the option "x ≤ 5")