Solve for −2x+5≤10

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Question

Solve for $- 2 x + 5 \leq 10$

Options:

A .

x \geq - \frac{5}{2}

B .

x \geq \frac{5}{2}

C .

x \leq \frac{5}{2}

D . None of the above

Answer: Option A
:
A

$- 2 x + 5 \leq 10$
Subtract 5 on both side
$- 2 x + 5 - 5 \leq 10 - 5$
$- 2 x \leq 5$
Divide by -2 on both side
$- \frac{2 x}{- 2} \geq \frac{5}{- 2}$
$x \geq - \frac{5}{2}$
The correct answer is option A

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