What is -5<((4-3x))/2 <1 ?

The solution to -5<((4-3x))/2 <1 is 2/3 <x< 14/3

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-5<((4-3x))/2 <1

- 5 < \frac{( 4 - 3 x )}{2} < 1

\frac{2}{3} < x < \frac{14}{3}

Interval Notation

(\frac{2}{3}, \frac{14}{3})

Decimal Notation

0.66666 \dots < x < 4.66666 \dots

Solution steps

- 5 < \frac{( 4 - 3 x )}{2} < 1

a < u < b

then

a < u and u < b

- 5 < \frac{( 4 - 3 x )}{2} and \frac{( 4 - 3 x )}{2} < 1

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

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

Combine the intervals

x < \frac{14}{3} and x > \frac{2}{3}

Merge Overlapping Intervals

\frac{2}{3} < x < \frac{14}{3}

- ∣ 2 ∣

9 (4 a - 2) = 12 (3 a + 8)

2 v^{3} + 5 v^{2} + 6 v + 15

(8 x^{4} y^{3})^{2}