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Popular >

|x-5|<= 3

Solution

∣ x - 5 ∣ \leq 3

Solution

2 \leq x \leq 8

+1

Interval Notation

[2, 8]

Solution steps

∣ x - 5 ∣ \leq 3

Apply absolute rule: If

∣ u ∣ \leq a, a > 0

then

- a \leq u \leq a

- 3 \leq x - 5 \leq 3

x - 5 \geq - 3 and x - 5 \leq 3

x \geq 2 and x \leq 8

Merge Overlapping Intervals

2 \leq x \leq 8

Popular Examples

factor 3x^3-x^2-12x+4 factor

3 x^{3} - x^{2} - 12 x + 4

factor 21x^2+70x^4 factor

21 x^{2} + 70 x^{4}

u^{2} - 38 u = 0

simplify 5sqrt(8)+2sqrt(20)-sqrt(8)simplify

58 + 220 - 8

4 (x - 6) = 7 x + 8

Frequently Asked Questions (FAQ)

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