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Popular >

|3x-2|<7

Solution

∣ 3 x - 2 ∣ < 7

Solution

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

+2

Interval Notation

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

Decimal Notation

- 1.66666 \dots < x < 3

Solution steps

∣ 3 x - 2 ∣ < 7

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 7 < 3 x - 2 < 7

3 x - 2 > - 7 and 3 x - 2 < 7

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

Merge Overlapping Intervals

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

Popular Examples

factor z^2+5z-14 factor

z^{2} + 5 z - 14

simplify 0.85^2 simplify

0.8 5^{2}

3 x^{2} + 12 x + 3 = 0

simplify 2(-3)+3/((-2))+(-(2))/((-sqrt(16)))simplify

2 (- 3) + \frac{3}{( - 2 )} + \frac{- ( 2 )}{( - 16 )}

\frac{x}{5} - \frac{x}{9} = - 1

Frequently Asked Questions (FAQ)

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