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Popular >

-7<(3x-1)/2 <0

Solution

- 7 < \frac{3 x - 1}{2} < 0

Solution

- \frac{13}{3} < x < \frac{1}{3}

+2

Interval Notation

(- \frac{13}{3}, \frac{1}{3})

Decimal Notation

- 4.33333 \dots < x < 0.33333 \dots

Solution steps

- 7 < \frac{3 x - 1}{2} < 0

If

a < u < b

then

a < u and u < b

- 7 < \frac{3 x - 1}{2} and \frac{3 x - 1}{2} < 0

- 7 < \frac{3 x - 1}{2} : x > - \frac{13}{3}

\frac{3 x - 1}{2} < 0 : x < \frac{1}{3}

Combine the intervals

x > - \frac{13}{3} and x < \frac{1}{3}

Merge Overlapping Intervals

- \frac{13}{3} < x < \frac{1}{3}

Popular Examples

- 6 x + 12 = - 6 (x - 2)

factor t^6-s^6 factor

t^{6} - s^{6}

4 x^{2} + 32 x + 60 = 0

factor 3r^2-16r-12 factor

3 r^{2} - 16 r - 12

x^{2} + 3 x \geq 10

Frequently Asked Questions (FAQ)

What is -7<(3x-1)/2 <0 ?
The solution to -7<(3x-1)/2 <0 is -13/3 <x< 1/3