What is -4<(-3x+2)/(-3)<4 ?

The solution to -4<(-3x+2)/(-3)<4 is -10/3 <x< 14/3

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-4<(-3x+2)/(-3)<4

- 4 < \frac{- 3 x + 2}{- 3} < 4

- \frac{10}{3} < x < \frac{14}{3}

Interval Notation

(- \frac{10}{3}, \frac{14}{3})

Decimal Notation

- 3.33333 \dots < x < 4.66666 \dots

Solution steps

- 4 < \frac{- 3 x + 2}{- 3} < 4

a < u < b

then

a < u and u < b

- 4 < \frac{- 3 x + 2}{- 3} and \frac{- 3 x + 2}{- 3} < 4

- 4 < \frac{- 3 x + 2}{- 3} : x > - \frac{10}{3}

\frac{- 3 x + 2}{- 3} < 4 : x < \frac{14}{3}

Combine the intervals

x > - \frac{10}{3} and x < \frac{14}{3}

Merge Overlapping Intervals

- \frac{10}{3} < x < \frac{14}{3}

- \frac{1}{2} + 3

x (x + 2) > 0

\frac{- 6}{3}

8 x^{2} y^{2} + 6 y^{2} x

x^{2} + x + 7 = 0