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Popular >

|x-3|>= 8

Solution

∣ x - 3 ∣ \geq 8

Solution

x \leq - 5 or x \geq 11

+1

Interval Notation

(- \infty, - 5] \cup [11, \infty)

Solution steps

∣ x - 3 ∣ \geq 8

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

x - 3 \leq - 8 or x - 3 \geq 8

x - 3 \leq - 8 or x - 3 \geq 8

x \leq - 5 or x \geq 11

Popular Examples

4x-12=-3(x-2)+4x

4 x - 12 = - 3 (x - 2) + 4 x

simplify-7/8+(-1/2)simplify

- \frac{7}{8} + (- \frac{1}{2})

2(x-2)+3x=2(x+1)+1

2 (x - 2) + 3 x = 2 (x + 1) + 1

simplify 6a^2-9ab+2b^2-3(ba-b^2)simplify

6 a^{2} - 9 ab + 2 b^{2} - 3 (ba - b^{2})

simplify-40/8 simplify

- \frac{40}{8}

Frequently Asked Questions (FAQ)

What is |x-3|>= 8 ?
The solution to |x-3|>= 8 is x<=-5\lor x>= 11