Double Inequality with Rational Expressions and Prime Constraints

Double Inequality with Rational Expressions and Prime Constraints

Secondary 3

Solve the inequality \(4x-7<\frac{3x-1}{4}\le 5\).
State the largest prime number which satisfies the above inequality \(4x-7<\frac{3x-1}{4}\le 5\).

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Answer:(i) \(x<\frac{27}{13}\). (ii) \(2\).

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