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Popular >

4<= |w-6|

Solution

4 \leq ∣ w - 6 ∣

Solution

w \leq 2 or w \geq 10

+1

Interval Notation

(- \infty, 2] \cup [10, \infty)

Solution steps

4 \leq ∣ w - 6 ∣

Switch sides

∣ w - 6 ∣ \geq 4

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

w - 6 \leq - 4 or w - 6 \geq 4

w - 6 \leq - 4 or w - 6 \geq 4

w \leq 2 or w \geq 10

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Frequently Asked Questions (FAQ)

What is 4<= |w-6| ?
The solution to 4<= |w-6| is w<= 2\lor w>= 10