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Popular >

4x-x^2>= 0

Solution

4 x - x^{2} \geq 0

Solution

0 \leq x \leq 4

+1

Interval Notation

[0, 4]

Solution steps

4 x - x^{2} \geq 0

Factor

4 x - x^{2} : - x (x - 4)

- x (x - 4) \geq 0

Multiply both sides by

- 1

(reverse the inequality)

(- x (x - 4)) (- 1) \leq 0 \cdot (- 1)

Simplify

x (x - 4) \leq 0

Identify the intervals

0 \leq x \leq 4

Popular Examples

(1 - x^{2}) > \frac{9}{25}

((x-2))/((x^2-4x))>0

\frac{( x - 2 )}{( x ^{2} - 4 x )} > 0

x^4+5x^3+5x^2+5x+4>= 0

x^{4} + 5 x^{3} + 5 x^{2} + 5 x + 4 \geq 0

x^{2} > \frac{1}{9}

x^{2} + x > 5

Frequently Asked Questions (FAQ)

What is 4x-x^2>= 0 ?
The solution to 4x-x^2>= 0 is 0<= x<= 4