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Popular >

4<|-2x+2/5 |+1/5

Solution

4 < - 2 x + \frac{2}{5} + \frac{1}{5}

Solution

x < - \frac{17}{10} or x > \frac{21}{10}

+2

Interval Notation

(- \infty, - \frac{17}{10}) \cup (\frac{21}{10}, \infty)

Decimal Notation

x < - 1.7 or x > 2.1

Solution steps

4 < - 2 x + \frac{2}{5} + \frac{1}{5}

Switch sides

- 2 x + \frac{2}{5} + \frac{1}{5} > 4

Move

\frac{1}{5}

to the right side

- 2 x + \frac{2}{5} > \frac{19}{5}

Apply absolute rule: If

∣ u ∣ > a, a > 0

then

u < - a

or

u > a

- 2 x + \frac{2}{5} < - \frac{19}{5} or - 2 x + \frac{2}{5} > \frac{19}{5}

- 2 x + \frac{2}{5} < - \frac{19}{5} or - 2 x + \frac{2}{5} > \frac{19}{5}

x < - \frac{17}{10} or x > \frac{21}{10}

Popular Examples

1/(x+2)<= 2/(x+1)

\frac{1}{x + 2} \leq \frac{2}{x + 1}

q^{2} + 79 = 0

simplify (27e^7)/(3e^4)simplify

\frac{27 e ^{7}}{3 e ^{4}}

(X+1)/(2X-4)< 1/(1/3 X-1)

\frac{X + 1}{2 X - 4} < \frac{1}{\frac{1}{3} X - 1}

factor x^2+36 factor

x^{2} + 36

Frequently Asked Questions (FAQ)

What is 4<|-2x+2/5 |+1/5 ?
The solution to 4<|-2x+2/5 |+1/5 is x<-17/10 \lor x> 21/10