What is (4(x+8)(5-x))/((x-5)(x-8))>= 0 ?

The solution to (4(x+8)(5-x))/((x-5)(x-8))>= 0 is -8<= x<8

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(4(x+8)(5-x))/((x-5)(x-8))>= 0

\frac{4 ( x + 8 ) ( 5 - x )}{( x - 5 ) ( x - 8 )} \geq 0

- 8 \leq x < 8

Interval Notation

[- 8, 8)

Solution steps

\frac{4 ( x + 8 ) ( 5 - x )}{( x - 5 ) ( x - 8 )} \geq 0

Rewrite in standard form

- \frac{x + 8}{x - 8} \geq 0

Multiply both sides by

- 1

(reverse the inequality)

(- \frac{x + 8}{x - 8}) (- 1) \leq 0 \cdot (- 1)

Simplify

\frac{x + 8}{x - 8} \leq 0

Identify the intervals

- 8 \leq x < 8

8^{2}

5 x^{2} - 13 + 6

∣ h ∣ > 6

∣ 2 x + 1 ∣ = ∣ x - 3 ∣

2 (- x + 2 x) = (x - (x + 2 x))^{2}

What is (4(x+8)(5-x))/((x-5)(x-8))>= 0 ?
The solution to (4(x+8)(5-x))/((x-5)(x-8))>= 0 is -8<= x<8