en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

|4x-3|<5

Solution

∣ 4 x - 3 ∣ < 5

Solution

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

+2

Interval Notation

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

Decimal Notation

- 0.5 < x < 2

Solution steps

∣ 4 x - 3 ∣ < 5

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 5 < 4 x - 3 < 5

4 x - 3 > - 5 and 4 x - 3 < 5

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

Merge Overlapping Intervals

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

Popular Examples

simplify 1/3 (1/2)simplify

\frac{1}{3} (\frac{1}{2})

simplify (log_{10}(25)+log_{10}(4))/(e^{2ln(3))}simplify

\frac{lo g _{10} ( 25 ) + lo g _{10} ( 4 )}{e ^{2 l n (3)}}

factor 50-32x^8 factor

50 - 32 x^{8}

b^{2} = 9

factor 12x^2+7x-12 factor

12 x^{2} + 7 x - 12

Frequently Asked Questions (FAQ)

What is |4x-3|<5 ?
The solution to |4x-3|<5 is -1/2 <x<2