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Popular >

|x+2|<= 13

Solution

∣ x + 2 ∣ \leq 13

Solution

- 15 \leq x \leq 11

+1

Interval Notation

[- 15, 11]

Solution steps

∣ x + 2 ∣ \leq 13

Apply absolute rule: If

∣ u ∣ \leq a, a > 0

then

- a \leq u \leq a

- 13 \leq x + 2 \leq 13

x + 2 \geq - 13 and x + 2 \leq 13

x \geq - 15 and x \leq 11

Merge Overlapping Intervals

- 15 \leq x \leq 11

Popular Examples

3 x + 10 \leq 19

simplify (-27) 1/3 simplify

(- 27) \frac{1}{3}

3 (x + 2) = 2 (x + 5)

x - 19 = 72

simplify ((a^2-1)^{-1})/((a-1)^{-1)}simplify

\frac{( a ^{2} - 1 ) ^{- 1}}{( a - 1 ) ^{- 1}}

Frequently Asked Questions (FAQ)

What is |x+2|<= 13 ?
The solution to |x+2|<= 13 is -15<= x<= 11