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solve the inequality for x. \\(2x + 11 \\leq -5x - 17\\) simplify your …

Question

solve the inequality for x.
\\(2x + 11 \leq -5x - 17\\)
simplify your answer as much as possible.

Explanation:

Step1: Add $5x$ to both sides

$2x + 5x + 11 \leq -17$
$7x + 11 \leq -17$

Step2: Subtract 11 from both sides

$7x \leq -17 - 11$
$7x \leq -28$

Step3: Divide by 7 on both sides

$x \leq \frac{-28}{7}$
$x \leq -4$

Answer:

$x \leq -4$