Answer:
[tex]0<x\leq 10[/tex]
Step-by-step explanation:
Let x represent Andy's age.
We have been given that Matt is five years older than twice his cousin Andy’s age.
Then Matt's age would be [tex]2x+5[/tex].
We are also told that the sum of their ages is less than 35.
The sum of Matt and Andy's ages would be [tex]x+2x+5[/tex]
We can represent our given information in an inequality as:
[tex]x+2x+5\leq 35[/tex]
[tex]3x+5\leq 35[/tex]
[tex]3x+5-5\leq 35-5[/tex]
[tex]3x\leq 30[/tex]
[tex]\frac{3x}{3}\leq \frac{30}{3}[/tex]
[tex]x\leq 10[/tex]
Since Andy cannot be negative, therefore, Andy's age would be greater than 0 and less than 10 years.
[tex]0<x\leq 10[/tex]
