en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

2|10b+7|-1>73

Solution

2 ∣ 10 b + 7 ∣ - 1 > 73

Solution

b < - \frac{22}{5} or b > 3

+2

Interval Notation

(- \infty, - \frac{22}{5}) \cup (3, \infty)

Decimal Notation

b < - 4.4 or b > 3

Solution steps

2 ∣ 10 b + 7 ∣ - 1 > 73

Move

1

to the right side

2 ∣ 10 b + 7 ∣ > 74

Divide both sides by

2

∣ 10 b + 7 ∣ > 37

Apply absolute rule: If

∣ u ∣ > a, a > 0

then

u < - a

or

u > a

10 b + 7 < - 37 or 10 b + 7 > 37

10 b + 7 < - 37 or 10 b + 7 > 37

b < - \frac{22}{5} or b > 3

Popular Examples

simplify 16^{0.5}simplify

1 6^{0.5}

3 x^{2} + 75 = 0

2^{n - 1} > 125

x + 2 = 11

- 16 < 5 p - 6 \leq 9

Frequently Asked Questions (FAQ)

What is 2|10b+7|-1>73 ?
The solution to 2|10b+7|-1>73 is b<-22/5 \lor b>3