<em><u>The inequality that represent age of marcus is:</u></em>

<em><u>The possible values for age of Marcus is:</u></em>
m = 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18
<em><u>Solution:</u></em>
Given that,
The sum of ages of Kevin and Marcus was at least 9 years but was at most 24 years
Kevin is 6 years old
Let "m" be the age of Marcus
Thus we frame a inequality as:

at least 9 years means that "greater than or equal to 9"
at most 24 years means "less than or equal to" 24
From given,
Sum of ages = kevin age + marcus age
Sum of ages = 6 + m
Thus the inequality is:

Solve the inequality


Now solve another inequality

![24\ge \:6+m\ge \:9\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:3\le \:m\le \:18\:\\ \:\mathrm{Interval\:Notation:}&\:\left[3,\:18\right]\end{bmatrix}](https://tex.z-dn.net/?f=24%5Cge%20%5C%3A6%2Bm%5Cge%20%5C%3A9%5Cquad%20%3A%5Cquad%20%5Cbegin%7Bbmatrix%7D%5Cmathrm%7BSolution%3A%7D%5C%3A%26%5C%3A3%5Cle%20%5C%3Am%5Cle%20%5C%3A18%5C%3A%5C%5C%20%5C%3A%5Cmathrm%7BInterval%5C%3ANotation%3A%7D%26%5C%3A%5Cleft%5B3%2C%5C%3A18%5Cright%5D%5Cend%7Bbmatrix%7D)
<em><u>Thus possible values for age of Marcus is:</u></em>
m = 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18