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Popular >

(2x-4)(x+2)>= 0

Solution

(2 x - 4) (x + 2) \geq 0

Solution

x \leq - 2 or x \geq 2

+1

Interval Notation

(- \infty, - 2] \cup [2, \infty)

Solution steps

(2 x - 4) (x + 2) \geq 0

Expand

(2 x - 4) (x + 2) : 2 x^{2} - 8

2 x^{2} - 8 \geq 0

Move

8

to the right side

2 x^{2} \geq 8

Divide both sides by

2

x^{2} \geq 4

For

u^{n} \geq a

, if

n

is even then

x \leq - 4 or x \geq 4

4 = 2

x \leq - 2 or x \geq 2

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Frequently Asked Questions (FAQ)

What is (2x-4)(x+2)>= 0 ?
The solution to (2x-4)(x+2)>= 0 is x<=-2\lor x>= 2