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Popular >

|5x+2|-2<3

Solution

∣ 5 x + 2 ∣ - 2 < 3

Solution

- \frac{7}{5} < x < \frac{3}{5}

+2

Interval Notation

(- \frac{7}{5}, \frac{3}{5})

Decimal Notation

- 1.4 < x < 0.6

Solution steps

∣ 5 x + 2 ∣ - 2 < 3

Move

2

to the right side

∣ 5 x + 2 ∣ < 5

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 5 < 5 x + 2 < 5

5 x + 2 > - 5 and 5 x + 2 < 5

x > - \frac{7}{5} and x < \frac{3}{5}

Merge Overlapping Intervals

- \frac{7}{5} < x < \frac{3}{5}

Popular Examples

simplify ((r^2t^{-3})/(r^{-3)t^5})^{-8}simplify

(\frac{r ^{2} t ^{- 3}}{r ^{- 3} t ^{5}})^{- 8}

simplify (10)/(sqrt(3))simplify

\frac{10}{3}

3v+4>-2\lor 4v-2<10

3 v + 4 > - 2 or 4 v - 2 < 10

5 - 4 x > - 4

19 - \frac{x}{4} = 15

Frequently Asked Questions (FAQ)

What is |5x+2|-2<3 ?
The solution to |5x+2|-2<3 is -7/5 <x< 3/5