# How do you solve and write the following in interval notation: 3>= 7-x/2 >=1?

Jun 21, 2016

x in [8;12]

#### Explanation:

It is useful to multiply all terms by 2 to eliminate fractions:

$6 \ge 14 - x \ge 2$

and then you can subtract 14:

$6 - 14 \ge - x \ge 2 - 14$

$- 8 \ge - x \ge - 12$

that's equivalent to:

$8 \le x \le 12$