# Number minus seven is at most fifteen, or four times the number is at least twenty-four. How do you write an inequality for this situation and solve?

Dec 6, 2016

$x \le 22 \mathmr{and} x \ge 6$

#### Explanation:

let's fix x as the unknown number, then

$x - 7 \le 15 \mathmr{and} 4 x \ge 24$

that is solved by:

$x \le 22 \mathmr{and} x \ge 6$

This can also be written as $6 \le x \le 22$ or in interval form $\left[6 , 22\right]$