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Popular >

5x-3x^2>0

Solution

5 x - 3 x^{2} > 0

Solution

0 < x < \frac{5}{3}

+2

Interval Notation

(0, \frac{5}{3})

Decimal Notation

0 < x < 1.66666 \dots

Solution steps

5 x - 3 x^{2} > 0

Factor

5 x - 3 x^{2} : - x (3 x - 5)

- x (3 x - 5) > 0

Multiply both sides by

- 1

(reverse the inequality)

(- x (3 x - 5)) (- 1) < 0 \cdot (- 1)

Simplify

x (3 x - 5) < 0

Identify the intervals

0 < x < \frac{5}{3}

Popular Examples

(x + 1)^{2} + 3 > 0

\frac{1}{( x - 3 )} \leq 4

x \cdot (x - 1)^{2} \leq 0

(3x-1)(-2x+4)<0

(3 x - 1) (- 2 x + 4) < 0

(x-2)^2*(3-x)^3*(4-x)^4<= 0

(x - 2)^{2} \cdot (3 - x)^{3} \cdot (4 - x)^{4} \leq 0

Frequently Asked Questions (FAQ)

What is 5x-3x^2>0 ?
The solution to 5x-3x^2>0 is 0<x< 5/3