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Popular >

-7|x+12|<=-14

Solution

- 7 ∣ x + 12 ∣ \leq - 14

Solution

x \leq - 14 or x \geq - 10

+1

Solution steps

- 7 ∣ x + 12 ∣ \leq - 14

Multiply both sides by

- 1

7 ∣ x + 12 ∣ \geq 14

Divide both sides by

7

∣ x + 12 ∣ \geq 2

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

x + 12 \leq - 2 or x + 12 \geq 2

x + 12 \leq - 2 or x + 12 \geq 2

x \leq - 14 or x \geq - 10

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Frequently Asked Questions (FAQ)

What is -7|x+12|<=-14 ?
The solution to -7|x+12|<=-14 is x<=-14\lor x>=-10