Three-Part Inequality with Rational Expressions and Prime Constraints

Three-Part Inequality with Rational Expressions and Prime Constraints

Secondary 3

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.

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Answer:\(2\le x<23/4\); the largest prime is 5.

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