Question

Solve for the solution set: 5a+18<−27
use a number line

Answer 1

is the circle open or closed

Answer 2

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

5a + 18 < -27

Subtract 18 from both sides:

5a < -45

Divide both sides by 5:

a < -9

Now, we can represent the solution set on a number line. Since "a" is less than -9, we shade the line to the left of -9:

<=======o------------------------>
-12 -11 -10 -9 -8 -7 -6

The solution set is all the values of "a" that are to the left of -9. In interval notation, we write the solution set as (-∞, -9).

Answer 3

The interval notation (-∞, -9) represents an open circle.