What is -4<(-3x+1)/(-2)<4 ?

The solution to -4<(-3x+1)/(-2)<4 is -7/3 <x<3

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-4<(-3x+1)/(-2)<4

- 4 < \frac{- 3 x + 1}{- 2} < 4

- \frac{7}{3} < x < 3

Interval Notation

(- \frac{7}{3}, 3)

Decimal Notation

- 2.33333 \dots < x < 3

Solution steps

- 4 < \frac{- 3 x + 1}{- 2} < 4

a < u < b

then

a < u and u < b

- 4 < \frac{- 3 x + 1}{- 2} and \frac{- 3 x + 1}{- 2} < 4

- 4 < \frac{- 3 x + 1}{- 2} : x > - \frac{7}{3}

\frac{- 3 x + 1}{- 2} < 4 : x < 3

Combine the intervals

x > - \frac{7}{3} and x < 3

Merge Overlapping Intervals

- \frac{7}{3} < x < 3

\frac{11 !}{5 ! 6 !}

\frac{3 x ^{2} - x - 2}{3 x + 2} \leq 0

\frac{- 10}{- 10 - 4}

\frac{12}{11} - (- \frac{2}{3})

3 x^{2} + 12 = 7 x + 10