What is |5x+1/2 |-3<9 ?

The solution to |5x+1/2 |-3<9 is -5/2 <x< 23/10

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

|5x+1/2 |-3<9

5 x + \frac{1}{2} - 3 < 9

- \frac{5}{2} < x < \frac{23}{10}

Solution steps

5 x + \frac{1}{2} - 3 < 9

Move

3

to the right side

5 x + \frac{1}{2} < 12

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 12 < 5 x + \frac{1}{2} < 12

5 x + \frac{1}{2} > - 12 and 5 x + \frac{1}{2} < 12

x > - \frac{5}{2} and x < \frac{23}{10}

Merge Overlapping Intervals

- \frac{5}{2} < x < \frac{23}{10}

x^{2} - 4 + 3

- 5 (20 x) = 100

6 x^{2} - x - 15 = 0

n^{2} - 4

t^{2} + t - 12