Solve and graph the following inequality:

−5a+17<62
(1 point)
Responses

1 answer

To solve the inequality, we can start by subtracting 17 from both sides:

-5a + 17 - 17 < 62 - 17

Simplifying, we have:

-5a < 45

Next, divide both sides by -5, remembering to reverse the inequality symbol:

a > 45 / -5

a > -9

To graph this inequality, we start by graphing the equation a = -9, which is a vertical line passing through -9 on the number line. Since the inequality is "a > -9", we need to shade the area to the right of the line to represent all values of a that are greater than -9.

The final graph represents the solution to the inequality −5a + 17 < 62.