−5a+17<62

To solve the inequality −5a + 17 < 62, we need to isolate the variable a.

−5a + 17 < 62

Subtract 17 from both sides:

−5a < 45

Divide both sides by -5. Since we are dividing by a negative number, we need to reverse the inequality sign:

a > 45/(-5)

Simplifying the right side:

a > -9

Therefore, the solution to the inequality −5a + 17 < 62 is a > -9.