I need help finding the answer to this calculus problem

We are given that the range of a function is given by:
[tex]100\leq R(s)\leq200[/tex]To determine the range of:
[tex]R(s)-150[/tex]We will subtract 150 from each side of the inequality of the range of the function:
[tex]100-150\leq R(s)-150\leq200-150[/tex]Solving the operations:
[tex]-50\leq R(s)\leq50[/tex]Therefore, the rage is the value between -50 and 50.