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Popular >

|x-3|<= 5

Solution

∣ x - 3 ∣ \leq 5

Solution

- 2 \leq x \leq 8

+1

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 - 2 and x \leq 8

Merge Overlapping Intervals

- 2 \leq x \leq 8

Popular Examples

(x-3)^2+2(x-3)-8=0

(x - 3)^{2} + 2 (x - 3) - 8 = 0

simplify (12)/(-3)simplify

\frac{12}{- 3}

1 < 3 - 2 x < 7

((2x+3))/4-((3-x))/5 =((x+2))/2

\frac{( 2 x + 3 )}{4} - \frac{( 3 - x )}{5} = \frac{( x + 2 )}{2}

simplify (x^{-7})/(x^{-8)}simplify

\frac{x ^{- 7}}{x ^{- 8}}

Frequently Asked Questions (FAQ)

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