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Question Watch Video Show Examples Solve for xx and graph the solution on the number line below. x, plus, 10, is less than or e...Question
Question
Watch Video
Show Examples
Solve for xx and graph the solution on the number line below.
x, plus, 4, is greater than or equal to, 8
x+4≥
8
Answer
Attempt 1 out of 2
Inequality Notation:
Number Line:
Click and drag to plot line.
-12
-10
-8
-6
-4
-2
0
2
4
6
8
10
12
Submit Answer
Watch Video
Show Examples
Solve for xx and graph the solution on the number line below.
x, plus, 4, is greater than or equal to, 8
x+4≥
8
Answer
Attempt 1 out of 2
Inequality Notation:
Number Line:
Click and drag to plot line.
-12
-10
-8
-6
-4
-2
0
2
4
6
8
10
12
Submit Answer
Answers
GPT-4o mini
To solve the inequality \( x + 4 \geq 8 \), follow these steps:
1. **Isolate \( x \)**:
\[
x + 4 \geq 8
\]
Subtract 4 from both sides:
\[
x \geq 8 - 4
\]
Simplifying:
\[
x \geq 4
\]
2. **Graph the Solution on the Number Line**:
- You will plot a closed circle (or dot) on the number 4 to indicate that 4 is included in the solution (since it’s greater than or equal).
- Shade the line to the right of 4 to indicate that all numbers greater than 4 are also included in the solution.
Now, here’s how to represent it graphically:
- **Number Line**:
- Mark a closed circle on 4.
- Shade the area to the right (indicating all numbers greater than or equal to 4).
Please click and drag the marker to place the closed circle on the number 4 and shade the section to the right.
Final Answer:
- Inequality Notation: \( x \geq 4 \)
- Number Line: Closed circle on 4, shaded to the right.
Feel free to submit your answer once you've marked the number line accordingly!
1. **Isolate \( x \)**:
\[
x + 4 \geq 8
\]
Subtract 4 from both sides:
\[
x \geq 8 - 4
\]
Simplifying:
\[
x \geq 4
\]
2. **Graph the Solution on the Number Line**:
- You will plot a closed circle (or dot) on the number 4 to indicate that 4 is included in the solution (since it’s greater than or equal).
- Shade the line to the right of 4 to indicate that all numbers greater than 4 are also included in the solution.
Now, here’s how to represent it graphically:
- **Number Line**:
- Mark a closed circle on 4.
- Shade the area to the right (indicating all numbers greater than or equal to 4).
Please click and drag the marker to place the closed circle on the number 4 and shade the section to the right.
Final Answer:
- Inequality Notation: \( x \geq 4 \)
- Number Line: Closed circle on 4, shaded to the right.
Feel free to submit your answer once you've marked the number line accordingly!