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Popular >

|x-2|>= 7

Solution

∣ x - 2 ∣ \geq 7

Solution

x \leq - 5 or x \geq 9

+1

Interval Notation

(- \infty, - 5] \cup [9, \infty)

Solution steps

∣ x - 2 ∣ \geq 7

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

x - 2 \leq - 7 or x - 2 \geq 7

x - 2 \leq - 7 or x - 2 \geq 7

x \leq - 5 or x \geq 9

Popular Examples

simplify 1/3-6 simplify

\frac{1}{3} - 6

simplify 1/14-1/40 simplify

\frac{1}{14} - \frac{1}{40}

21 - 4 x \geq - 9 + 6 x

factor x^2-2x-24 factor

x^{2} - 2 x - 24

factor b^2+16b+64 factor

b^{2} + 16 b + 64

Frequently Asked Questions (FAQ)

What is |x-2|>= 7 ?
The solution to |x-2|>= 7 is x<=-5\lor x>= 9