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Popular >

|w-5|<= 1

Solution

∣ w - 5 ∣ \leq 1

Solution

4 \leq w \leq 6

+1

Interval Notation

[4, 6]

Solution steps

∣ w - 5 ∣ \leq 1

Apply absolute rule: If

∣ u ∣ \leq a, a > 0

then

- a \leq u \leq a

- 1 \leq w - 5 \leq 1

w - 5 \geq - 1 and w - 5 \leq 1

w \geq 4 and w \leq 6

Merge Overlapping Intervals

4 \leq w \leq 6

Popular Examples

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12 x + 18

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(40 x^{3} - 15 x^{2}) (- 16 x + 6)

simplify (4x^{10}y^{-3})/(12x^{-2)y}simplify

\frac{4 x ^{10} y ^{- 3}}{12 x ^{- 2} y}

x^{2} = 2 x - 50

6 x + 4 = 5 (3 x + 8)

Frequently Asked Questions (FAQ)

What is |w-5|<= 1 ?
The solution to |w-5|<= 1 is 4<= w<= 6