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Popular >

|x-3|>= 12

Solution

∣ x - 3 ∣ \geq 12

Solution

x \leq - 9 or x \geq 15

+1

Interval Notation

(- \infty, - 9] \cup [15, \infty)

Solution steps

∣ x - 3 ∣ \geq 12

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

x - 3 \leq - 12 or x - 3 \geq 12

x - 3 \leq - 12 or x - 3 \geq 12

x \leq - 9 or x \geq 15

Popular Examples

∣ x - 4 ∣ = x^{2} - 6 x + 9

factor 5x^2-23x-10 factor

5 x^{2} - 23 x - 10

factor 3x^2-6x+1 factor

3 x^{2} - 6 x + 1

simplify 3/12*2/11 simplify

\frac{3}{12} \cdot \frac{2}{11}

simplify \sqrt[4]{243m^5n^{13}}simplify

Frequently Asked Questions (FAQ)

What is |x-3|>= 12 ?
The solution to |x-3|>= 12 is x<=-9\lor x>= 15