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Popular >

|x+10|<= 5

Solution

∣ x + 10 ∣ \leq 5

Solution

- 15 \leq x \leq - 5

+1

Interval Notation

[- 15, - 5]

Solution steps

∣ x + 10 ∣ \leq 5

Apply absolute rule: If

∣ u ∣ \leq a, a > 0

then

- a \leq u \leq a

- 5 \leq x + 10 \leq 5

x + 10 \geq - 5 and x + 10 \leq 5

x \geq - 15 and x \leq - 5

Merge Overlapping Intervals

- 15 \leq x \leq - 5

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Frequently Asked Questions (FAQ)

What is |x+10|<= 5 ?
The solution to |x+10|<= 5 is -15<= x<=-5