Question

How do you solve `-1 <= 2x - 3 < 7`?

Answer 1

Isolate each inequality:

a. `-1 <= 2x - 3 -> 2x >= 3 - 1 = 2 -> x >= 1`

b. `2x - 3 < 7 -> 2x < 10 -> x < 5`

-------------------|0------|1============| 5----------------------

Note> The end (critical) point 1 is included in the solution set.

Solution half closed Interval [1, 5).