Evaluate the inequality (frac{x}{2} + frac{3}{4} leq frac{5x}{6} – frac{7}{12})
-
A.
(x geq 4) -
B.
(x leq 3) -
C.
(x geq -3) -
D.
(x leq -4)
Correct Answer: Option A
Explanation
(frac{x}{2} + frac{3}{4} leq frac{5x}{6} – frac{7}{12})
(12frac{x}{2} + 12frac{3}{4} leq 12frac{5x}{6} – 12frac{7}{12})
6x + 9 (leq) 10x – 7
6x – 10x (leq) – 7 – 9
-4x (leq) -16
-4x/-4 (geq) -16/-4
x (geq) 4
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