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question 2 of 40 solve $2x - 8 \\geq 22 - 4x$. a. $x \\leq 5$ b. $x \\l…

Question

question 2 of 40
solve $2x - 8 \geq 22 - 4x$.

a. $x \leq 5$

b. $x \leq -15$

c. $x \geq -15$

d. $x \geq 5$

Explanation:

Step1: Add 4x to both sides

$2x - 8 + 4x \geq 22 - 4x + 4x$
$6x - 8 \geq 22$

Step2: Add 8 to both sides

$6x - 8 + 8 \geq 22 + 8$
$6x \geq 30$

Step3: Divide by 6

$\frac{6x}{6} \geq \frac{30}{6}$
$x \geq 5$

Answer:

D. $x\geq 5$