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Popular >

|x-5|>= 3

Solution

∣ x - 5 ∣ \geq 3

Solution

x \leq 2 or x \geq 8

+1

Interval Notation

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

Solution steps

∣ x - 5 ∣ \geq 3

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

x - 5 \leq - 3 or x - 5 \geq 3

x - 5 \leq - 3 or x - 5 \geq 3

x \leq 2 or x \geq 8

Popular Examples

simplify-1/2*3/4 simplify

- \frac{1}{2} \cdot \frac{3}{4}

factor 5x^2+2x-3 factor

5 x^{2} + 2 x - 3

2 n^{2} - 4 = 2 n

simplify 2/9*6/5 simplify

\frac{2}{9} \cdot \frac{6}{5}

factor 8y^2+30y+7 factor

8 y^{2} + 30 y + 7

Frequently Asked Questions (FAQ)

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