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?
The inequality you can use to determine whether you should sign up is:
\(3(x-25)<100\)
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:
\(3(x-25)<100\)