# How do you solve 2\leq 6x - 1< 21?

Jun 8, 2018

$\frac{1}{2} \le x < \frac{11}{3}$

#### Explanation:

We have to solve
$2 \le 6 x - 1$
so we get
$3 \le 6 x$
$\frac{1}{2} \le x$
And we have to solve
$6 x - 1 < 21$
so
$6 x < 22$
$x < \frac{11}{3}$
so our solution is given by
$\frac{1}{2} \le x < \frac{11}{3}$