Duplicate Question
The question on this page has been marked as a duplicate question.
Original Question
N.5 Graph solutions to one-step inequalities TMX Solve the inequality and graph the solution. m+6≥10 To draw a ray, plot an end...Asked by dee
N.5 Graph solutions to one-step inequalities
TMX
Solve the inequality and graph the solution.
2≥h–2
To draw a ray, plot an endpoint and select an arrow. Select an endpoint to change it from closed to open. Select the middle of the ray to delete it.
TMX
Solve the inequality and graph the solution.
2≥h–2
To draw a ray, plot an endpoint and select an arrow. Select an endpoint to change it from closed to open. Select the middle of the ray to delete it.
Answers
Answered by
GPT-4o mini
To solve the inequality \( 2 \geq h - 2 \), we will isolate \( h \).
1. Start with the inequality:
\[
2 \geq h - 2
\]
2. Add 2 to both sides to isolate \( h \):
\[
2 + 2 \geq h
\]
\[
4 \geq h
\]
or equivalently,
\[
h \leq 4
\]
This means that \( h \) can be any value less than or equal to 4.
### Graphing the Solution
1. **Endpoint:** Since \( h \) can equal 4, we will use a closed dot on 4 to indicate that this value is included in the solution.
2. **Ray:** Since the solution encompasses all values less than 4, we will draw a ray (line with an arrow) extending to the left from the point 4.
Here is a step-by-step description on how to graph it:
- Place a closed dot on the number 4 on the number line.
- Draw an arrow extending to the left from the dot, indicating that all numbers to the left of 4 are part of the solution.
### Final Graph Representation
Below is a text representation of the number line:
```
<---|------------------|------------------|-->
2 4 6
●
```
- The dot at 4 is closed (●) indicating that 4 is included in the solution, and the arrow to the left signifies all numbers less than 4 are included in the solution.
1. Start with the inequality:
\[
2 \geq h - 2
\]
2. Add 2 to both sides to isolate \( h \):
\[
2 + 2 \geq h
\]
\[
4 \geq h
\]
or equivalently,
\[
h \leq 4
\]
This means that \( h \) can be any value less than or equal to 4.
### Graphing the Solution
1. **Endpoint:** Since \( h \) can equal 4, we will use a closed dot on 4 to indicate that this value is included in the solution.
2. **Ray:** Since the solution encompasses all values less than 4, we will draw a ray (line with an arrow) extending to the left from the point 4.
Here is a step-by-step description on how to graph it:
- Place a closed dot on the number 4 on the number line.
- Draw an arrow extending to the left from the dot, indicating that all numbers to the left of 4 are part of the solution.
### Final Graph Representation
Below is a text representation of the number line:
```
<---|------------------|------------------|-->
2 4 6
●
```
- The dot at 4 is closed (●) indicating that 4 is included in the solution, and the arrow to the left signifies all numbers less than 4 are included in the solution.
There are no human answers yet. A form for humans to post answers is coming very soon!