Question

solve the inequality -3<2x-1<2 graph the solution and write it in interval notation

Answer 1

- 3 < 2x - 1 < 2 =

solve - 3 < 2x - 1

2 x - 1 > - 3

2 x > - 3 + 1

2 x > - 2

x > - 2 / 2

x > - 1

Solve 2 x - 1 < 2

2 x < 2 + 1

2 x < 3

x < 3/2

Combine the rangers:

-1 < x  < 3/2

interval notation :  ( - 1 , 3/2) 

hope this helps!