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Popular >

|x-3|>= 9

Solution

∣ x - 3 ∣ \geq 9

Solution

x \leq - 6 or x \geq 12

+1

Interval Notation

(- \infty, - 6] \cup [12, \infty)

Solution steps

∣ x - 3 ∣ \geq 9

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

x - 3 \leq - 9 or x - 3 \geq 9

x - 3 \leq - 9 or x - 3 \geq 9

x \leq - 6 or x \geq 12

Popular Examples

simplify (5+3i)(2-3i)simplify

(5 + 3 i) (2 - 3 i)

2x^2-5x+4x+2x-5+4=4x^2-10x-1

2 x^{2} - 5 x + 4 x + 2 x - 5 + 4 = 4 x^{2} - 10 x - 1

3(3-x)+7<4-3x+3(2x+7)

3 (3 - x) + 7 < 4 - 3 x + 3 (2 x + 7)

\frac{x}{8} + \frac{x}{2} = - 2

simplify i^{-6}simplify

i^{- 6}

Frequently Asked Questions (FAQ)

What is |x-3|>= 9 ?
The solution to |x-3|>= 9 is x<=-6\lor x>= 12