-2<2x+3<5

The solution to -2<2x+3<5 is -5/2 <x<1

Solution

- 2 < 2 x + 3 < 5

- \frac{5}{2} < x < 1

Interval Notation

(- \frac{5}{2}, 1)

Decimal Notation

- 2.5 < x < 1

Solution steps

- 2 < 2 x + 3 < 5

a < u < b

then

a < u and u < b

- 2 < 2 x + 3 and 2 x + 3 < 5

- 2 < 2 x + 3 : x > - \frac{5}{2}

2 x + 3 < 5 : x < 1

Combine the intervals

x > - \frac{5}{2} and x < 1

Merge Overlapping Intervals

- \frac{5}{2} < x < 1

2 x - x^{2} = 3 x^{2} - 6 x

(3 6^{\frac{3}{8}})^{4}

\frac{\frac{24}{25}}{\frac{7}{25}}

3 x^{3} - 18 x^{2} + 24 x