60 - 5t ≤ 35 -5t ≤ -25 t ≥ 5

What is the question?

If the problem was:                              60 - 5t  <=  35

and you subtracted 60 from both sides:     -5t  <=  -25

and you divided both sides by -5:                  t  >=  5

you did the problem correctly!