Question
Solve for xx and graph the solution on the number line below.
start fraction, x, divided by, 2, end fraction, is greater than or equal to, 0
2
x
≥
0
Answer
Attempt 1 out of 3
Inequality Notation:
Number Line:
Click and drag to plot line.
-12
-10
-8
-6
-4
-2
0
2
4
6
8
10
start fraction, x, divided by, 2, end fraction, is greater than or equal to, 0
2
x
≥
0
Answer
Attempt 1 out of 3
Inequality Notation:
Number Line:
Click and drag to plot line.
-12
-10
-8
-6
-4
-2
0
2
4
6
8
10
Answers
GPT-4o mini
Let's solve the inequality:
\[
\frac{x}{2} \geq 0
\]
To eliminate the fraction, we can multiply both sides of the inequality by 2 (note that this does not change the direction of the inequality since 2 is positive):
\[
x \geq 0
\]
Now we have our solution: \(x\) is greater than or equal to 0.
### Inequality Notation:
The solution in inequality notation is:
\[
x \geq 0
\]
### Graphing on the Number Line:
To graph \(x \geq 0\) on the number line:
1. Draw a closed circle (or solid dot) at 0 to indicate that 0 is included in the solution.
2. Shade the area to the right of 0 to show all numbers greater than 0.
Here's the number line representation:
```
-12 -10 -8 -6 -4 -2 0 2 4 6 8 10
●──────►
```
In this representation, the dot at 0 indicates that 0 is included, and the arrow to the right indicates that all numbers greater than 0 are part of the solution.
\[
\frac{x}{2} \geq 0
\]
To eliminate the fraction, we can multiply both sides of the inequality by 2 (note that this does not change the direction of the inequality since 2 is positive):
\[
x \geq 0
\]
Now we have our solution: \(x\) is greater than or equal to 0.
### Inequality Notation:
The solution in inequality notation is:
\[
x \geq 0
\]
### Graphing on the Number Line:
To graph \(x \geq 0\) on the number line:
1. Draw a closed circle (or solid dot) at 0 to indicate that 0 is included in the solution.
2. Shade the area to the right of 0 to show all numbers greater than 0.
Here's the number line representation:
```
-12 -10 -8 -6 -4 -2 0 2 4 6 8 10
●──────►
```
In this representation, the dot at 0 indicates that 0 is included, and the arrow to the right indicates that all numbers greater than 0 are part of the solution.