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

May 18, 2015

Isolate each inequality:

a. $- 1 \le 2 x - 3 \to 2 x \ge 3 - 1 = 2 \to x \ge 1$

b. $2 x - 3 < 7 \to 2 x < 10 \to x < 5$

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

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

Solution half closed Interval [1, 5).