−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.