Question

Solve for the solution set: 5a + 18 < -27

Answer 1

on a graph.

Answer 2

but the graph is numbered like this:

<------------------------------------------------------>
-12 -11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3

Answer 3

please write that

Answer 4

To solve the inequality, we isolate the variable 'a' on one side:

5a + 18 < -27

Subtract 18 from both sides:

5a < -27 - 18

5a < -45

Divide both sides by 5:

a < -45/5

Simplify:

a < -9

Therefore, the solution set is all real numbers less than -9.

Answer 5

To graph the solution set on a number line, we need to represent all real numbers that are less than -9. Here is how the graph would appear:

```
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 ...
|==========|--------------------|--------------------|----
```

The open circle at -9 indicates that -9 is not included in the solution set. The line extending to the left shows that all real numbers to the left of -9 are part of the solution set.

Answer 6

Apologies for the confusion. Here is the corrected graph:

```
<-------------------------------------------------->
-12 -11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0
```

The open circle is placed at -9 to indicate that -9 is not included in the solution set. The arrow to the left indicates that all real numbers less than -9 are part of the solution set.

Answer 7

Here is the corrected number line graph:

```
<------------------------------------------------------>
-12 -11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0
```