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Popular >

|5x+3|<7

Solution

∣ 5 x + 3 ∣ < 7

Solution

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

+2

Interval Notation

(- 2, \frac{4}{5})

Decimal Notation

- 2 < x < 0.8

Solution steps

∣ 5 x + 3 ∣ < 7

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 7 < 5 x + 3 < 7

5 x + 3 > - 7 and 5 x + 3 < 7

x > - 2 and x < \frac{4}{5}

Merge Overlapping Intervals

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

Popular Examples

simplify (\sqrt[3]{162})/(\sqrt[3]{2)}simplify

x^{2} = \frac{6}{7} x

simplify 3sqrt(8)+3sqrt(2)simplify

38 + 32

8 = x^{2} - 4 x + 3

factor x^3-5x^2+6x-2 factor

x^{3} - 5 x^{2} + 6 x - 2

Frequently Asked Questions (FAQ)

What is |5x+3|<7 ?
The solution to |5x+3|<7 is -2<x< 4/5