Solve the inequality: 3(x + 1) \(\leq\) 5(x + 2) + 15
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Correct Answer: Option D
Explanation:
3(x + 1) \(\leq\) 5(x + 2) + 15
3x + 3 \(\leq\) 5x + 10 + 15
3x - 5x \(\geq\) 10 + 15 - 3
-2x \(\geq\) 22
x \(\leq\) \(\frac{-22}{2}\)
x \(\leq\) -11
3(x + 1) \(\leq\) 5(x + 2) + 15
3x + 3 \(\leq\) 5x + 10 + 15
3x - 5x \(\geq\) 10 + 15 - 3
-2x \(\geq\) 22
x \(\leq\) \(\frac{-22}{2}\)
x \(\leq\) -11