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Popular >

|x+3|<= 5

Solution

∣ x + 3 ∣ \leq 5

Solution

- 8 \leq x \leq 2

+1

Interval Notation

[- 8, 2]

Solution steps

∣ x + 3 ∣ \leq 5

Apply absolute rule: If

∣ u ∣ \leq a, a > 0

then

- a \leq u \leq a

- 5 \leq x + 3 \leq 5

x + 3 \geq - 5 and x + 3 \leq 5

x \geq - 8 and x \leq 2

Merge Overlapping Intervals

- 8 \leq x \leq 2

Popular Examples

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(\frac{\frac{8}{9 t}}{\frac{1}{3 s t}}) \frac{s}{4}

sqrt(25+3(-3))=d+2(-3)

25 + 3 (- 3) = d + 2 (- 3)

6 x^{2} + 36 x = 0

Frequently Asked Questions (FAQ)

What is |x+3|<= 5 ?
The solution to |x+3|<= 5 is -8<= x<= 2