en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

|12-4x|<= 11

Solution

∣ 12 - 4 x ∣ \leq 11

Solution

\frac{1}{4} \leq x \leq \frac{23}{4}

+2

Interval Notation

[\frac{1}{4}, \frac{23}{4}]

Decimal Notation

0.25 \leq x \leq 5.75

Solution steps

∣ 12 - 4 x ∣ \leq 11

Apply absolute rule: If

∣ u ∣ \leq a, a > 0

then

- a \leq u \leq a

- 11 \leq 12 - 4 x \leq 11

12 - 4 x \geq - 11 and 12 - 4 x \leq 11

x \leq \frac{23}{4} and x \geq \frac{1}{4}

Merge Overlapping Intervals

\frac{1}{4} \leq x \leq \frac{23}{4}

Popular Examples

factor 3(x-1)^2-21 factor

3 (x - 1)^{2} - 21

simplify (2pi)/(7/3)simplify

\frac{2 π}{\frac{7}{3}}

simplify (4a^{-2}b^{-3})/(3a^2b^1)simplify

\frac{4 a ^{- 2} b ^{- 3}}{3 a ^{2} b ^{1}}

x^{2} + 10 x = 30

-3m-3(8m+3)=6(6m+9)

- 3 m - 3 (8 m + 3) = 6 (6 m + 9)

Frequently Asked Questions (FAQ)

What is |12-4x|<= 11 ?
The solution to |12-4x|<= 11 is 1/4 <= x<= 23/4