What is (|-8+v|)/6 <4 ?

The solution to (|-8+v|)/6 <4 is -16<v<32

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(|-8+v|)/6 <4

\frac{∣ - 8 + v ∣}{6} < 4

- 16 < v < 32

Interval Notation

(- 16, 32)

Solution steps

\frac{∣ - 8 + v ∣}{6} < 4

Multiply both sides by

6

∣ - 8 + v ∣ < 24

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 24 < - 8 + v < 24

- 8 + v > - 24 and - 8 + v < 24

v > - 16 and v < 32

Merge Overlapping Intervals

- 16 < v < 32

\frac{3 x + 1}{x - 4} \leq 0

\frac{\frac{4}{3}}{2}

∣ x + 4 ∣ \geq 8

\frac{3}{4} x + 2 \leq \frac{1}{4} x + 5

2 (x - 6) = - 26