Solve the inequality: 3(x + 1) \(\leq\) 5(x + 2) + 15
A
x \(\geq\) -14
B
x \(\leq\) - 14
C
x \(\geq\) -11
D
x \(\leq\) - 11
Verified Correct Answer: C.
Step-by-Step Mathematical Solution
3(x + 1) \(\leq\) 5(x + 2) + 15
3x + 3 \(\leq\) 5x + 10 + 15
3x - 5x \(\leq\) 10 + 15 - 3
-2x \(\leq\) 22
x \(\geq\) \(\frac{-22}{2}\)
x \(\geq\) -11
Source: Myschool Past Questions Archive (Record #36526)