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Popular >

|3x|<2

Solution

∣ 3 x ∣ < 2

Solution

- \frac{2}{3} < x < \frac{2}{3}

+2

Interval Notation

(- \frac{2}{3}, \frac{2}{3})

Decimal Notation

- 0.66666 \dots < x < 0.66666 \dots

Solution steps

∣ 3 x ∣ < 2

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 2 < 3 x < 2

3 x > - 2 and 3 x < 2

x > - \frac{2}{3} and x < \frac{2}{3}

Merge Overlapping Intervals

- \frac{2}{3} < x < \frac{2}{3}

Popular Examples

(3-x)/(x-6)>=-4

\frac{3 - x}{x - 6} \geq - 4

((4+5(3-(-12))))/((3+3(-12)))

\frac{( 4 + 5 ( 3 - ( - 12 ) ) )}{( 3 + 3 ( - 12 ) )}

simplify (4x^3y)^5 simplify

(4 x^{3} y)^{5}

simplify 1/3*2/5-1/2 simplify

\frac{1}{3} \cdot \frac{2}{5} - \frac{1}{2}

(a + 5)^{2} = 1

Frequently Asked Questions (FAQ)

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