Evaluate the inequality \(\frac{x}{2} + \frac{3}{4} \leq \frac{5x}{6} - \frac{7}{12}\)
Take Free Practice Test On 2026 JAMB UTME, Post UTME, WAEC SSCE, GCE, NECO SSCE
Correct Answer: Option A
Explanation:
\(\frac{x}{2} + \frac{3}{4} \leq \frac{5x}{6} - \frac{7}{12}\)
\(12\frac{x}{2} + 12\frac{3}{4} \leq 12\frac{5x}{6} - 12\frac{7}{12}\)
6x + 9 \(\leq\) 10x - 7
6x - 10x \(\leq\) - 7 - 9
-4x \(\leq\) -16
-4x/-4 \(\geq\) -16/-4
x \(\geq\) 4
\(\frac{x}{2} + \frac{3}{4} \leq \frac{5x}{6} - \frac{7}{12}\)
\(12\frac{x}{2} + 12\frac{3}{4} \leq 12\frac{5x}{6} - 12\frac{7}{12}\)
6x + 9 \(\leq\) 10x - 7
6x - 10x \(\leq\) - 7 - 9
-4x \(\leq\) -16
-4x/-4 \(\geq\) -16/-4
x \(\geq\) 4