Find the value of x for (frac{2 + 2x}{3} – 2 geq frac{4x – 6}{5})
-
A.
x (geq) -5 -
B.
x (geq) -1 -
C.
x (leq) -1 -
D.
x (leq) 3
Correct Answer: Option C
Explanation
(frac{2 + 2x}{3} – 2 geq frac{4x – 6}{5})
(frac{2 + 2x – 6}{3} geq frac{4x – 6}{5})
(frac{2x – 4}{3} geq frac{4x – 6}{5})
(5(2x – 4) geq 3(4x – 6))
(10x – 20 geq 12x – 18)
(10x – 12x geq -18 + 20)
(-2x geq 2)
(x leq -1)
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