passpadi

2011

Mathematics

67ca00ce0c643c71d77dee1f

Solve the inequality -6(x + 3) ≤ 4(x - 2)

A.

x ≤ 2

B.

x ≥ -1

C.

x ≥ -2

D.

x ≤ -1

Correct Answer: x ≥ -1

Explanation

-6(x + 3) ≤ 4(x - 2) -6(x +3) ≤ 4(x - 2) -6x -18 ≤ 4x - 8 -18 + 8 ≤ 4x +6x -10 ≤ 10x 10x ≥ -10 x ≥ -1

-6(x + 3) ≤ 4(x - 2) -6(x +3) ≤ 4(x - 2) -6x -18 ≤ 4x - 8 -18 + 8 ≤ 4x +6x -10 ≤ 10x 10x ≥ -10 x ≥ -1
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