Find the value of x satisfying \(\frac{x}{2}\) - \(\frac{1}{3}\) < \(\frac{2x}{5}\) + \(\frac{1}{6}\)
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Correct Answer: Option A
Explanation:
\(\frac{x}{2} - \frac{1}{3} < \frac{2x}{5} + \frac{1}{6}\)
\(\frac{x}{2} - \frac{2x}{5} < \frac{1}{6} + \frac{1}{3}\)
\(\frac{x}{10} < \frac{1}{2}\)
\(2x < 10 \implies x < 5\)
\(\frac{x}{2} - \frac{1}{3} < \frac{2x}{5} + \frac{1}{6}\)
\(\frac{x}{2} - \frac{2x}{5} < \frac{1}{6} + \frac{1}{3}\)
\(\frac{x}{10} < \frac{1}{2}\)
\(2x < 10 \implies x < 5\)