en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

|4x+7|<21

Solution

∣ 4 x + 7 ∣ < 21

Solution

- 7 < x < \frac{7}{2}

+2

Interval Notation

(- 7, \frac{7}{2})

Decimal Notation

- 7 < x < 3.5

Solution steps

∣ 4 x + 7 ∣ < 21

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 21 < 4 x + 7 < 21

4 x + 7 > - 21 and 4 x + 7 < 21

x > - 7 and x < \frac{7}{2}

Merge Overlapping Intervals

- 7 < x < \frac{7}{2}

Popular Examples

factor-3a^2b+6ab-5a^3b^3+8a^2bx+4ab^2m factor

- 3 a^{2} b + 6 ab - 5 a^{3} b^{3} + 8 a^{2} b x + 4 a b^{2} m

simplify 1/4 of^{20}simplify

\frac{1}{4} o f^{20}

7 m - 5 < 2 m + 10

3 (8) - 7 (5) \geq 10

factor 7x^2-26x-8 factor

7 x^{2} - 26 x - 8

Frequently Asked Questions (FAQ)

What is |4x+7|<21 ?
The solution to |4x+7|<21 is -7<x< 7/2