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Popular >

|x+6|<= 8

Solution

∣ x + 6 ∣ \leq 8

Solution

- 14 \leq x \leq 2

+1

Interval Notation

[- 14, 2]

Solution steps

∣ x + 6 ∣ \leq 8

Apply absolute rule: If

∣ u ∣ \leq a, a > 0

then

- a \leq u \leq a

- 8 \leq x + 6 \leq 8

x + 6 \geq - 8 and x + 6 \leq 8

x \geq - 14 and x \leq 2

Merge Overlapping Intervals

- 14 \leq x \leq 2

Popular Examples

x - \frac{3}{8} = - \frac{5}{8}

factor 4m^2-4m(n-m)+(n-m)^2 factor

4 m^{2} - 4 m (n - m) + (n - m)^{2}

8 x (x + 1) = - 1

simplify-(0.8(10))/((0.01(10)^2+1)^2)simplify

- \frac{0.8 ( 10 )}{( 0.01 ( 10 ) ^{2} + 1 ) ^{2}}

factor 4x^3+4u factor

4 x^{3} + 4 u

Frequently Asked Questions (FAQ)

What is |x+6|<= 8 ?
The solution to |x+6|<= 8 is -14<= x<= 2