Question

A local gym offers a trial membership for 3 months. It discounts the regular monthly fee x by $25. If the total cost of the trial membership is less than $100, you will consider signing up. What inequality can you use to determine whether you should sign up?

Answer 1

x-25 < 100

x minus the $25 discount has to be less than 100

Answer 2

The inequality you can use to determine whether you should sign up is:

`3(x-25)<100`

Explanation:

It is given that:

The regular monthly fee i.e. x is discounted by $ 25.

This means that now the monthly fee would be:

$ (x-25)

The membership is offered for three months.

This means that the cost for three months will be: $ 3(x-25)

Also,

The total cost of the trial membership must be less than $100.

i.e. the inequality which satisfies the above condition is given by:

`3(x-25)<100`