Question

Matt is five years older than twice his cousin Andy’s age. The sum of their ages is less than 35.

Let x represent Andy's age.

Which inequality represents Andy’s possible age?



Responses

0<x<25
0 less than x less than 25

0<x≤25
0 less than x less than or equal to 25

0<x≤10
0 less than x less than or equal to 10

0<x<10
0 less than x less than 10
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Answer 1

Let x = Andy’s age. Then Matt = 2x + 5. Their sum is less than 35:

x + (2x + 5) < 35
3x + 5 < 35
3x < 30
x < 10

Also ages are positive, so 0 < x < 10.