Solve the inequality $\frac{x+2}{4}\le \frac{2x-1}{3}

Question

Solve the inequality $\frac{x+2}{4}\le \frac{2x-1}{3}<3\frac{1}{2}$ and hence, find the largest prime number value of $x$ which satisfies the inequality.

Accepted Answer

(a) $2 \leq x < 5\frac{3}{4}$ (b) $5$

Three-Part Inequality with Rational Expressions and Prime Constraints

Three-Part Inequality with Rational Expressions and Prime Constraints

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