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Popular >

|x-2|<= 8

Solution

∣ x - 2 ∣ \leq 8

Solution

- 6 \leq x \leq 10

+1

Solution steps

∣ x - 2 ∣ \leq 8

Apply absolute rule: If

∣ u ∣ \leq a, a > 0

then

- a \leq u \leq a

- 8 \leq x - 2 \leq 8

x - 2 \geq - 8 and x - 2 \leq 8

x \geq - 6 and x \leq 10

Merge Overlapping Intervals

- 6 \leq x \leq 10

Popular Examples

simplify 5/(n+1)*(n+1)/(n+3)simplify

\frac{5}{n + 1} \cdot \frac{n + 1}{n + 3}

x^{2} + 6^{2} = 1 0^{2}

log_{9}(9^{log_{3}(3)})=x

lo g_{9} (9^{l o g_{3} (3)}) = x

8 - 8 c = - 6 c

((x-1))/6-((x-3))/2 =-1

\frac{( x - 1 )}{6} - \frac{( x - 3 )}{2} = - 1

Frequently Asked Questions (FAQ)

What is |x-2|<= 8 ?
The solution to |x-2|<= 8 is -6<= x<= 10