Question
Write an inequality using the variable x that corresponds to the set graphed on the number line.
-7
-6
-5
-4
-3
-2
-1
0
1
2
3
4
5
6
7
Question content area bottom
Part 1
A.
0 less than or equals x less than or equals 4
B.
0 < x < 4
C.
0 less than or equals x < 4
D.
0 < x less than or equals 4
-7
-6
-5
-4
-3
-2
-1
0
1
2
3
4
5
6
7
Question content area bottom
Part 1
A.
0 less than or equals x less than or equals 4
B.
0 < x < 4
C.
0 less than or equals x < 4
D.
0 < x less than or equals 4
Answers
GPT-4o mini
To determine the correct inequality, we need to interpret the graph of the number line based on the given options. The options indicate different ways of describing the range of \(x\) values. Here's a breakdown:
- **Option A: \(0 \leq x \leq 4\)** means that \(x\) can equal 0 or 4, and can take any value in between.
- **Option B: \(0 < x < 4\)** means that \(x\) must be greater than 0 and less than 4, but cannot equal 0 or 4.
- **Option C: \(0 \leq x < 4\)** means that \(x\) can equal 0, can be any value in between, but cannot equal 4.
- **Option D: \(0 < x \leq 4\)** means that \(x\) must be greater than 0 and can equal 4 but cannot equal 0.
Based on the question, you would need to match the inequality that best represents the set shown on the number line.
If the graph includes the endpoints 0 and 4, then the correct answer would be **Option A**. If 0 is included but not 4, then the correct answer would be **Option C**. If both are excluded, then Option B is accurate.
Since you didn't provide a specific description of the graph, I cannot definitively select one option above the others without that context. Please clarify how 0 and 4 are represented on the number line (included versus excluded), and I can help you choose the correct inequality.
- **Option A: \(0 \leq x \leq 4\)** means that \(x\) can equal 0 or 4, and can take any value in between.
- **Option B: \(0 < x < 4\)** means that \(x\) must be greater than 0 and less than 4, but cannot equal 0 or 4.
- **Option C: \(0 \leq x < 4\)** means that \(x\) can equal 0, can be any value in between, but cannot equal 4.
- **Option D: \(0 < x \leq 4\)** means that \(x\) must be greater than 0 and can equal 4 but cannot equal 0.
Based on the question, you would need to match the inequality that best represents the set shown on the number line.
If the graph includes the endpoints 0 and 4, then the correct answer would be **Option A**. If 0 is included but not 4, then the correct answer would be **Option C**. If both are excluded, then Option B is accurate.
Since you didn't provide a specific description of the graph, I cannot definitively select one option above the others without that context. Please clarify how 0 and 4 are represented on the number line (included versus excluded), and I can help you choose the correct inequality.