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Popular >

|x-5|>= 2

Solution

∣ x - 5 ∣ \geq 2

Solution

x \leq 3 or x \geq 7

+1

Interval Notation

(- \infty, 3] \cup [7, \infty)

Solution steps

∣ x - 5 ∣ \geq 2

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

x - 5 \leq - 2 or x - 5 \geq 2

x - 5 \leq - 2 or x - 5 \geq 2

x \leq 3 or x \geq 7

Popular Examples

simplify (3v^3)/(3u^3v^4)simplify

\frac{3 v ^{3}}{3 u ^{3} v ^{4}}

factor x^3-39x-70 factor

x^{3} - 39 x - 70

∣ 10 - 10 x ∣ < - 2

2 x - 4 + 6 x < 10 x - 7

factor 2b^3-54 factor

2 b^{3} - 54

Frequently Asked Questions (FAQ)

What is |x-5|>= 2 ?
The solution to |x-5|>= 2 is x<= 3\lor x>= 7