en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

|4-5x|<= 19

Solution

∣ 4 - 5 x ∣ \leq 19

Solution

- 3 \leq x \leq \frac{23}{5}

+2

Interval Notation

[- 3, \frac{23}{5}]

Decimal Notation

- 3 \leq x \leq 4.6

Solution steps

∣ 4 - 5 x ∣ \leq 19

Apply absolute rule: If

∣ u ∣ \leq a, a > 0

then

- a \leq u \leq a

- 19 \leq 4 - 5 x \leq 19

4 - 5 x \geq - 19 and 4 - 5 x \leq 19

x \leq \frac{23}{5} and x \geq - 3

Merge Overlapping Intervals

- 3 \leq x \leq \frac{23}{5}

Popular Examples

2 x < 6

(x - 4) (x + 5) = 0

simplify 1/2*8*10 simplify

\frac{1}{2} \cdot 8 \cdot 10

simplify sqrt(64/9)simplify

\frac{64}{9}

simplify ((6.63*10^{-34})(3*10^8))/(4.86*10^{-7)}simplify

\frac{( 6.63 \cdot 1 0 ^{- 34} ) ( 3 \cdot 1 0 ^{8} )}{4.86 \cdot 1 0 ^{- 7}}

Frequently Asked Questions (FAQ)

What is |4-5x|<= 19 ?
The solution to |4-5x|<= 19 is -3<= x<= 23/5