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Popular >

|x-5|>3

Solution

∣ x - 5 ∣ > 3

Solution

x < 2 or x > 8

+1

Interval Notation

(- \infty, 2) \cup (8, \infty)

Solution steps

∣ x - 5 ∣ > 3

Apply absolute rule: If

∣ u ∣ > a, a > 0

then

u < - a

or

u > a

x - 5 < - 3 or x - 5 > 3

x - 5 < - 3 or x - 5 > 3

x < 2 or x > 8

Popular Examples

x^{2} + 6 x - 7 = 0

factor x^5+32 factor

x^{5} + 32

factor 3x^3+2x^2-19x+6 factor

3 x^{3} + 2 x^{2} - 19 x + 6

x^{2} + 6 x + 9 = 0

simplify 3(5/6)^2-5(5/6)+6 simplify

3 (\frac{5}{6})^{2} - 5 (\frac{5}{6}) + 6

Frequently Asked Questions (FAQ)

What is |x-5|>3 ?
The solution to |x-5|>3 is x<2\lor x>8