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Popular >

3x-x^2>0

Solution

3 x - x^{2} > 0

Solution

0 < x < 3

+1

Interval Notation

(0, 3)

Solution steps

3 x - x^{2} > 0

Factor

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

- x (x - 3) > 0

Multiply both sides by

- 1

(reverse the inequality)

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

Simplify

x (x - 3) < 0

Identify the intervals

0 < x < 3

Popular Examples

simplify sqrt(40)simplify

40

6 > x + 5

7 - 5 + 3 x - 1 = 5 + 3

simplify (e^{x-1})^2 simplify

(e^{x - 1})^{2}

factor 3a-6b factor

3 a - 6 b

Frequently Asked Questions (FAQ)

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