en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

|x-4|>= 7

Solution

∣ x - 4 ∣ \geq 7

Solution

x \leq - 3 or x \geq 11

+1

Interval Notation

(- \infty, - 3] \cup [11, \infty)

Solution steps

∣ x - 4 ∣ \geq 7

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

x - 4 \leq - 7 or x - 4 \geq 7

x - 4 \leq - 7 or x - 4 \geq 7

x \leq - 3 or x \geq 11

Popular Examples

simplify ((1+0.1)^5-1)/(0.1(0.1+1)^5)simplify

\frac{( 1 + 0.1 ) ^{5} - 1}{0.1 ( 0.1 + 1 ) ^{5}}

18-5(2x+3)=9-15x

18 - 5 (2 x + 3) = 9 - 15 x

simplify (5!)/1 simplify

\frac{5 !}{1}

simplify (6^5)/(6^4)simplify

\frac{6 ^{5}}{6 ^{4}}

factor x^3-5x^2-6x factor

x^{3} - 5 x^{2} - 6 x

Frequently Asked Questions (FAQ)

What is |x-4|>= 7 ?
The solution to |x-4|>= 7 is x<=-3\lor x>= 11