en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

|2x+7|<8

Solution

∣ 2 x + 7 ∣ < 8

Solution

- \frac{15}{2} < x < \frac{1}{2}

+2

Interval Notation

(- \frac{15}{2}, \frac{1}{2})

Decimal Notation

- 7.5 < x < 0.5

Solution steps

∣ 2 x + 7 ∣ < 8

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 8 < 2 x + 7 < 8

2 x + 7 > - 8 and 2 x + 7 < 8

x > - \frac{15}{2} and x < \frac{1}{2}

Merge Overlapping Intervals

- \frac{15}{2} < x < \frac{1}{2}

Popular Examples

factor 12n+20n^2 factor

12 n + 20 n^{2}

8 x^{2} + 2 x \geq 1

simplify (80i)-(80+10i)simplify

(80 i) - (80 + 10 i)

7|x-2|+7=-2|x-2|+2

7 ∣ x - 2 ∣ + 7 = - 2 ∣ x - 2 ∣ + 2

simplify i^{50}simplify

i^{50}

Frequently Asked Questions (FAQ)

What is |2x+7|<8 ?
The solution to |2x+7|<8 is -15/2 <x< 1/2