en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

|9x+5|<42

Solution

∣ 9 x + 5 ∣ < 42

Solution

- \frac{47}{9} < x < \frac{37}{9}

+2

Interval Notation

(- \frac{47}{9}, \frac{37}{9})

Decimal Notation

- 5.22222 \dots < x < 4.11111 \dots

Solution steps

∣ 9 x + 5 ∣ < 42

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 42 < 9 x + 5 < 42

9 x + 5 > - 42 and 9 x + 5 < 42

x > - \frac{47}{9} and x < \frac{37}{9}

Merge Overlapping Intervals

- \frac{47}{9} < x < \frac{37}{9}

Popular Examples

x^{2} \leq 4 x + 77

simplify 1/2+1/4*3/4 simplify

\frac{1}{2} + \frac{1}{4} \cdot \frac{3}{4}

simplify-1/2*2 simplify

- \frac{1}{2} \cdot 2

simplify sqrt(5-1)simplify

5 - 1

factor 54-24x factor

54 - 24 x

Frequently Asked Questions (FAQ)

What is |9x+5|<42 ?
The solution to |9x+5|<42 is -47/9 <x< 37/9