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Popular >

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

Solution

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

Solution

x < - \frac{13}{2} or x > \frac{7}{2}

+2

Interval Notation

(- \infty, - \frac{13}{2}) \cup (\frac{7}{2}, \infty)

Decimal Notation

x < - 6.5 or x > 3.5

Solution steps

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

If

a < u < b

then

a < u and u < b

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

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

\frac{4 x - 4}{2 x + 3} < 3 : x < - \frac{13}{2} or x > - \frac{3}{2}

Combine the intervals

(x < - \frac{3}{2} or x > \frac{7}{2}) and (x < - \frac{13}{2} or x > - \frac{3}{2})

Merge Overlapping Intervals

x < - \frac{13}{2} or x > \frac{7}{2}

Popular Examples

simplify (x^9)/(x^7)simplify

\frac{x ^{9}}{x ^{7}}

simplify-6(4-6i)simplify

- 6 (4 - 6 i)

4 (x + 3) = 1

6 - 1 = x + 12

simplify (6)^2 simplify

(6)^{2}

Frequently Asked Questions (FAQ)

What is 1<(4x-4)/(2x+3)<3 ?
The solution to 1<(4x-4)/(2x+3)<3 is x<-13/2 \lor x> 7/2