Algebra 1

So I have this problem:

Dave can vote. (18 or over.) Dave is 5 years older than Jim. Jim is not old enough to vote. Write a mathematical inequality expressing Dave's age. (Hint: determine Dave's maximum and minimum age.)

So I have his minimum age as 18 and his maximum age as 22. That's how old he can be while the other is too young to vote. But how do I write the inequality?

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  1. let J=Jim's age
    let D=Dave's age
    It is given that Dave can vote.
    So
    D>=18
    Dave is 5 years older
    J+5=D
    or
    J=D-5
    Jim can't vote.
    J<18
    Substitute for Jim's age:
    D-5<18
    Solve this for the upper limit for Dave's age.

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