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Popular >

|x+9|<= 5

Solution

∣ x + 9 ∣ \leq 5

Solution

- 14 \leq x \leq - 4

+1

Solution steps

∣ x + 9 ∣ \leq 5

Apply absolute rule: If

∣ u ∣ \leq a, a > 0

then

- a \leq u \leq a

- 5 \leq x + 9 \leq 5

x + 9 \geq - 5 and x + 9 \leq 5

x \geq - 14 and x \leq - 4

Merge Overlapping Intervals

- 14 \leq x \leq - 4

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Frequently Asked Questions (FAQ)

What is |x+9|<= 5 ?
The solution to |x+9|<= 5 is -14<= x<=-4