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Solving Inequalities

If -3 × 4<-3,...

Question

If $- \frac{3 x}{4} \leq - 3,$ then x _______ 4.

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Solution

$Given - \frac{3 x}{4} \leq - 3 i . e . - 3 x \leq - 12 Now, multiplying both sides by - \frac{1}{3}, We get, (- \frac{1}{3}) (- 3 x) \geq (- \frac{1}{3}) (- 12) i . e . x \geq 4$

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