What is the answer to 1=|x|-1 ?

The answer to 1=|x|-1 is x=-2\lor x=2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

1=|x|-1

1 = ∣ x ∣ - 1

x = - 2 or x = 2

Solution steps

1 = ∣ x ∣ - 1

Switch sides

∣ x ∣ - 1 = 1

Move

1

to the right side

∣ x ∣ = 2

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x = - 2 or x = 2

\frac{12}{x - 2} < 6

0.5 (x + 2) = 0.9 x + 0.2

5 ∣ x + 2 ∣ + 8 \leq 53

\frac{2 x + 3}{6} \geq \frac{5 x - 7}{2}

ln (250) = 5.521