All the values of x x x satisfying the inequality 1 x + 5 ≤ 1 2 x − 3 \frac{1}{x+5} \leq \frac{1}{2x-3} x + 5 1 ​ ≤ 2 x − 3 1 ​ are:

Question

All the values of

xx
satisfying the inequality
1x+512x3\frac{1}{x+5} \leq \frac{1}{2x-3}
are:

Options

A.

x<5x < -5 or 32<x8\frac{3}{2} < x \leq 8

B.

5<x<32-5 < x < \frac{3}{2} or x>32x > \frac{3}{2}

C.

x<5x < -5 or x>32x > \frac{3}{2}

D.

5<x<32-5 < x < \frac{3}{2} or 32<x8\frac{3}{2} < x \leq 8

cat 2024quadratic equationscritical points

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