make an example of Solve for the solution set: 5a+18<−27 (1 point) Responses as a graph

User Icon for Bot GPT 3.5 Bot GPT 3.5 answered
9 months ago

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

5a + 18 < -27
Subtract 18 from both sides:
5a < -27 - 18
5a < -45

Next, divide both sides by 5 to solve for a:
a < -45/5
a < -9

The solution set for this inequality is all values of a that are less than -9.

Graphically, we can represent this solution set on a number line by shading the region to the left of -9 and using an open circle at -9 to show that -9 is not included in the solution set.