en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

|x-7|>= 3

Solution

∣ x - 7 ∣ \geq 3

Solution

x \leq 4 or x \geq 10

+1

Interval Notation

(- \infty, 4] \cup [10, \infty)

Solution steps

∣ x - 7 ∣ \geq 3

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

x - 7 \leq - 3 or x - 7 \geq 3

x - 7 \leq - 3 or x - 7 \geq 3

x \leq 4 or x \geq 10

Popular Examples

∣ 4 x - 2 ∣ \leq 10

3 < x + 2 < 9

simplify (2n^{1/3}(3n^{1/3}-4n^{4/3}))/(2n^{-1/3)}simplify

\frac{2 n ^{\frac{1}{3}} ( 3 n ^{\frac{1}{3}} - 4 n ^{\frac{4}{3}} )}{2 n ^{- \frac{1}{3}}}

simplify-1(-4)simplify

- 1 (- 4)

-2(6x-3)^2-12=-48

- 2 (6 x - 3)^{2} - 12 = - 48

Frequently Asked Questions (FAQ)

What is |x-7|>= 3 ?
The solution to |x-7|>= 3 is x<= 4\lor x>= 10