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#7: solve the inequality below. * $7 - x \\geq 13$ $\\bigcirc$ $x \\geq…

Question

#7: solve the inequality below. *
$7 - x \geq 13$
$\bigcirc$ $x \geq -20$
$\bigcirc$ $x \leq -20$
$\bigcirc$ $x \geq 20$
$\bigcirc$ $x \leq 20$
$\bigcirc$ $x \geq -6$
$\bigcirc$ $x \leq -6$
$\bigcirc$ $x \geq 6$
$\bigcirc$ $x \leq 6$

Explanation:

Step1: Subtract 7 from both sides

$7 - x - 7 \geq 13 - 7$ → $-x \geq 6$

Step2: Multiply by -1 (reverse inequality)

$-x \times (-1) \leq 6 \times (-1)$ → $x \leq -6$

Answer:

x ≤ -6