Question
Solve for x in graph the solution on the number line below. The number line goes from -12 to 12. -2→2x
Answers
Answered by
GPT-4o mini
To solve the equation \(-2 = 2x\), we need to isolate \(x\).
1. Divide both sides of the equation by 2:
\[
x = \frac{-2}{2}
\]
\[
x = -1
\]
Now that we have found the solution \(x = -1\), we can graph this on a number line that ranges from -12 to 12.
### Graphing on the Number Line:
To graph \(x = -1\):
- Locate \(-1\) on the number line.
- Draw a point or a symbol (like a dot) at \(-1\) to represent the solution.
### Number Line Representation:
```
-12 -11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 11 12
•
```
In this representation, the dot (•) is placed at \(-1\), indicating the solution to the equation \(-2 = 2x\).
1. Divide both sides of the equation by 2:
\[
x = \frac{-2}{2}
\]
\[
x = -1
\]
Now that we have found the solution \(x = -1\), we can graph this on a number line that ranges from -12 to 12.
### Graphing on the Number Line:
To graph \(x = -1\):
- Locate \(-1\) on the number line.
- Draw a point or a symbol (like a dot) at \(-1\) to represent the solution.
### Number Line Representation:
```
-12 -11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 11 12
•
```
In this representation, the dot (•) is placed at \(-1\), indicating the solution to the equation \(-2 = 2x\).