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Popular >

|x+7|<= 7

Solution

∣ x + 7 ∣ \leq 7

Solution

- 14 \leq x \leq 0

+1

Interval Notation

[- 14, 0]

Solution steps

∣ x + 7 ∣ \leq 7

Apply absolute rule: If

∣ u ∣ \leq a, a > 0

then

- a \leq u \leq a

- 7 \leq x + 7 \leq 7

x + 7 \geq - 7 and x + 7 \leq 7

x \geq - 14 and x \leq 0

Merge Overlapping Intervals

- 14 \leq x \leq 0

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Frequently Asked Questions (FAQ)

What is |x+7|<= 7 ?
The solution to |x+7|<= 7 is -14<= x<= 0