Question 93

Which value of x does satisfy the inequality $$2x^{2} + x - 3 < 0$$?

Solution

Inequality : $$2x^{2} + x - 3 < 0$$

=> $$2x^2 - 2x + 3x - 3 < 0$$

=> $$2x (x - 1) + 3 (x - 1) < 0$$

=> $$(2x + 3) (x - 1) < 0$$

=> $$\frac{-3}{2} < x < 1$$

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