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Popular >

2|x+4|+8>= 16

Solution

2 ∣ x + 4 ∣ + 8 \geq 16

Solution

x \leq - 8 or x \geq 0

+1

Solution steps

2 ∣ x + 4 ∣ + 8 \geq 16

Move

8

to the right side

2 ∣ x + 4 ∣ \geq 8

Divide both sides by

2

∣ x + 4 ∣ \geq 4

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

x + 4 \leq - 4 or x + 4 \geq 4

x + 4 \leq - 4 or x + 4 \geq 4

x \leq - 8 or x \geq 0

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Frequently Asked Questions (FAQ)

What is 2|x+4|+8>= 16 ?
The solution to 2|x+4|+8>= 16 is x<=-8\lor x>= 0