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Popular >

8<= |4x-8|

Solution

8 \leq ∣ 4 x - 8 ∣

Solution

x \leq 0 or x \geq 4

+1

Interval Notation

(- \infty, 0] \cup [4, \infty)

Solution steps

8 \leq ∣ 4 x - 8 ∣

Switch sides

∣ 4 x - 8 ∣ \geq 8

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

4 x - 8 \leq - 8 or 4 x - 8 \geq 8

4 x - 8 \leq - 8 or 4 x - 8 \geq 8

x \leq 0 or x \geq 4

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x/8 >= 1-x/(16)

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Frequently Asked Questions (FAQ)

What is 8<= |4x-8| ?
The solution to 8<= |4x-8| is x<= 0\lor x>= 4