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Find the value of x for \(\frac{2 + 2x}{3} - 2 \geq \frac{4x...

Find the value of x for $\frac{2 + 2x}{3} - 2 \geq \frac{4x - 6}{5}$

A.

x $\geq$ -5

B.

x $\geq$ -1

C.

x $\leq$ -1

D.

x $\leq$ 3

View answer & explanation

Correct answer is C

$\frac{2 + 2x}{3} - 2 \geq \frac{4x - 6}{5}$

$\frac{2 + 2x - 6}{3} \geq \frac{4x - 6}{5}$

$\frac{2x - 4}{3} \geq \frac{4x - 6}{5}$

$5(2x - 4) \geq 3(4x - 6)$

$10x - 20 \geq 12x - 18$

$10x - 12x \geq -18 + 20$

$-2x \geq 2$

$x \leq -1$

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