en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

|4x+2|<= 3

Solution

∣ 4 x + 2 ∣ \leq 3

Solution

- \frac{5}{4} \leq x \leq \frac{1}{4}

+2

Interval Notation

[- \frac{5}{4}, \frac{1}{4}]

Decimal Notation

- 1.25 \leq x \leq 0.25

Solution steps

∣ 4 x + 2 ∣ \leq 3

Apply absolute rule: If

∣ u ∣ \leq a, a > 0

then

- a \leq u \leq a

- 3 \leq 4 x + 2 \leq 3

4 x + 2 \geq - 3 and 4 x + 2 \leq 3

x \geq - \frac{5}{4} and x \leq \frac{1}{4}

Merge Overlapping Intervals

- \frac{5}{4} \leq x \leq \frac{1}{4}

Popular Examples

8 - 3 x < 14

simplify (-16)/4 simplify

\frac{- 16}{4}

simplify (2/7)^0 simplify

(\frac{2}{7})^{0}

simplify 13i-(14-7i)simplify

13 i - (14 - 7 i)

simplify-1/27+1 simplify

- \frac{1}{27} + 1

Frequently Asked Questions (FAQ)

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