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Evaluate the inequality frac x 2 frac 3 4 leq f... - JAMB Mathematics 2014 Question

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
\(x \leq -4\)
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Correct Option: A

(\frac{x}{2} + \frac{3}{4} \leq \frac{5x}{6} - \frac{7}{12})

(12\frac{x}{2} + 12\frac{3}{4} \leq 12\frac{5x}{6} - 12\frac{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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