What is ((2x-3)(3x+8))/((x-8)^3)>= 0 ?

The solution to ((2x-3)(3x+8))/((x-8)^3)>= 0 is -8/3 8

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((2x-3)(3x+8))/((x-8)^3)>= 0

\frac{( 2 x - 3 ) ( 3 x + 8 )}{( x - 8 ) ^{3}} \geq 0

- \frac{8}{3} \leq x \leq \frac{3}{2} or x > 8

Interval Notation

[- \frac{8}{3}, \frac{3}{2}] \cup (8, \infty)

Decimal Notation

- 2.66666 \dots \leq x \leq 1.5 or x > 8

Solution steps

\frac{( 2 x - 3 ) ( 3 x + 8 )}{( x - 8 ) ^{3}} \geq 0

Identify the intervals

- \frac{8}{3} \leq x \leq \frac{3}{2} or x > 8

- 4 \leq 5 x + 13 < 23

\frac{8 i}{4 - 3 i}

5 n^{2} + 12 n + 7

\frac{5 x}{x - 5} < 1

81 m^{2} - 36

What is ((2x-3)(3x+8))/((x-8)^3)>= 0 ?
The solution to ((2x-3)(3x+8))/((x-8)^3)>= 0 is -8/3 <= x<= 3/2 \lor x>8