Solve the inequality -6(x + 3) \(\leq\) 4(x - 2)
A
x \(\leq\) 2
B
x \(\geq\) -1
C
x \(\geq\) -2
D
x \(\leq\) -1
Verified Correct Answer: B.
Step-by-Step Mathematical Solution
-6(x + 3) \(\leq\) 4(x - 2)
-6(x +3) \(\leq\) 4(x - 2)
-6x -18 \(\leq\) 4x - 8
-18 + 8 \(\leq\) 4x +6x
-10 \(\leq\) 10x
10x \(\geq\) -10
x \(\geq\) -1
Source: Myschool Past Questions Archive (Record #29386)