en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

|x-7|>= 5

Solution

∣ x - 7 ∣ \geq 5

Solution

x \leq 2 or x \geq 12

+1

Solution steps

∣ x - 7 ∣ \geq 5

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

x - 7 \leq - 5 or x - 7 \geq 5

x - 7 \leq - 5 or x - 7 \geq 5

x \leq 2 or x \geq 12

Popular Examples

factor x^4-2x^2-48 factor

x^{4} - 2 x^{2} - 48

1/4 x-1/5 (x-5)=5x

\frac{1}{4} x - \frac{1}{5} (x - 5) = 5 x

simplify (4^7)^3 simplify

(4^{7})^{3}

simplify (a+3)/(a^2-1)+(a-1)/(2a+2)+(a-4)/(4a-4)simplify

\frac{a + 3}{a ^{2} - 1} + \frac{a - 1}{2 a + 2} + \frac{a - 4}{4 a - 4}

x^{2} + x - 6 \geq 0

Frequently Asked Questions (FAQ)

What is |x-7|>= 5 ?
The solution to |x-7|>= 5 is x<= 2\lor x>= 12