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Popular >

|3x-2|<7

Solution

∣ 3 x - 2 ∣ < 7

Solution

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

+2

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

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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