Solve for the solution set: 5a+18<−27 (1 point) Responses

Question

explain what the graph would look like

Answer 1

To solve the inequality 5a + 18 < -27, we need to isolate the variable "a" on one side of the inequality sign.

First, we subtract 18 from both sides of the inequality:

5a + 18 - 18 < -27 - 18
5a < -45

Next, we divide both sides of the inequality by 5 to solve for "a":

(5a)/5 < (-45)/5
a < -9

Therefore, the solution set for the inequality is a < -9.

In terms of graphing, the graph would consist of all the values on the number line that are less than -9. The point -9 would be an open circle on the number line, and all the values to the left of -9 would be shaded to represent the solution set.