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Popular >

-5|x-2|<-3

Solution

- 5 ∣ x - 2 ∣ < - 3

Solution

x < \frac{7}{5} or x > \frac{13}{5}

+2

Interval Notation

(- \infty, \frac{7}{5}) \cup (\frac{13}{5}, \infty)

Decimal Notation

x < 1.4 or x > 2.6

Solution steps

- 5 ∣ x - 2 ∣ < - 3

Multiply both sides by

- 1

5 ∣ x - 2 ∣ > 3

Divide both sides by

5

∣ x - 2 ∣ > \frac{3}{5}

Apply absolute rule: If

∣ u ∣ > a, a > 0

then

u < - a

or

u > a

x - 2 < - \frac{3}{5} or x - 2 > \frac{3}{5}

x - 2 < - \frac{3}{5} or x - 2 > \frac{3}{5}

x < \frac{7}{5} or x > \frac{13}{5}

Popular Examples

simplify sqrt(30/125)simplify

\frac{30}{125}

3b^2-18b=10b-49

3 b^{2} - 18 b = 10 b - 49

simplify-5/2-2 simplify

- \frac{5}{2} - 2

9 x - 3 > 6

(sqrt(2))/3 r+1=23

\frac{2}{3} r + 1 = 23

Frequently Asked Questions (FAQ)

What is -5|x-2|<-3 ?
The solution to -5|x-2|<-3 is x< 7/5 \lor x> 13/5