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Popular >

3x-x^2<0

Solution

3 x - x^{2} < 0

Solution

x < 0 or x > 3

+1

Interval Notation

(- \infty, 0) \cup (3, \infty)

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

x < 0 or x > 3

Popular Examples

\frac{j}{10} = 80

\frac{5 x}{6} = 30

∣ 3 x ∣ = 8

5|x+6|+8=-6|x+6|+8

5 ∣ x + 6 ∣ + 8 = - 6 ∣ x + 6 ∣ + 8

factor (a+3)(a+1)-4(a+1)factor

(a + 3) (a + 1) - 4 (a + 1)

Frequently Asked Questions (FAQ)

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