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.
Solve for the solution set: 5a + 18 < -27
7 answers
on a graph.
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.
```
-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.
but the graph is numbered like this:
<------------------------------------------------------>
-12 -11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3
<------------------------------------------------------>
-12 -11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3
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.
```
<-------------------------------------------------->
-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.
please write that
Here is the corrected number line graph:
```
<------------------------------------------------------>
-12 -11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0
```
```
<------------------------------------------------------>
-12 -11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0
```