# How do you solve and write the following in interval notation: 6<= 4x-2<=26?

Jul 21, 2016

$x \in \left[2 , 7\right]$.

#### Explanation:

$6 \le 4 x - 2 \le 26$ Adding $2$,

$8 \le 4 x \le 28$

Now we multiply the inequality by $\frac{1}{4} > 0$, so that, the sign will not be reversed. Hence,

$2 \le x \le 7$

$\therefore$ in the Interval Form, this is written as $x \in \left[2 , 7\right]$.