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Popular >

|3x+2|<10

Solution

∣ 3 x + 2 ∣ < 10

Solution

- 4 < x < \frac{8}{3}

+2

Interval Notation

(- 4, \frac{8}{3})

Decimal Notation

- 4 < x < 2.66666 \dots

Solution steps

∣ 3 x + 2 ∣ < 10

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 10 < 3 x + 2 < 10

3 x + 2 > - 10 and 3 x + 2 < 10

x > - 4 and x < \frac{8}{3}

Merge Overlapping Intervals

- 4 < x < \frac{8}{3}

Popular Examples

4 x - 8 = 5

2 x + 3 = 5

simplify (-4x^2)^3 simplify

(- 4 x^{2})^{3}

simplify (8/((x+h)^2)-8/(x^2))/h simplify

\frac{\frac{8}{( x + h ) ^{2}} - \frac{8}{x ^{2}}}{h}

factor (x+6)^2-(x-3)^2 factor

(x + 6)^{2} - (x - 3)^{2}

Frequently Asked Questions (FAQ)

What is |3x+2|<10 ?
The solution to |3x+2|<10 is -4<x< 8/3