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Popular >

|x+6|<= 10

Solution

∣ x + 6 ∣ \leq 10

Solution

- 16 \leq x \leq 4

+1

Interval Notation

[- 16, 4]

Solution steps

∣ x + 6 ∣ \leq 10

Apply absolute rule: If

∣ u ∣ \leq a, a > 0

then

- a \leq u \leq a

- 10 \leq x + 6 \leq 10

x + 6 \geq - 10 and x + 6 \leq 10

x \geq - 16 and x \leq 4

Merge Overlapping Intervals

- 16 \leq x \leq 4

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Frequently Asked Questions (FAQ)

What is |x+6|<= 10 ?
The solution to |x+6|<= 10 is -16<= x<= 4