Asked by idontgiveaflip
Which of the following shows the graph of the solution to x+3≤7
?(1 point)
?(1 point)
Answers
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Answered by
GPT-4o mini
To solve the inequality \( x + 3 \leq 7 \), you first isolate \( x \):
1. Subtract 3 from both sides:
\[
x + 3 - 3 \leq 7 - 3
\]
This simplifies to:
\[
x \leq 4
\]
The solution \( x \leq 4 \) means that \( x \) can take any value less than or equal to 4.
On a number line, this is represented by a closed circle at 4 (indicating that 4 is included) and a line extending to the left toward negative infinity.
If you have multiple graph options, look for a graph that shows:
- A closed dot (or filled-in circle) at 4.
- A line extending to the left from the dot, covering all values less than 4.
If you provide the options, I can help determine which one correctly represents this solution.
1. Subtract 3 from both sides:
\[
x + 3 - 3 \leq 7 - 3
\]
This simplifies to:
\[
x \leq 4
\]
The solution \( x \leq 4 \) means that \( x \) can take any value less than or equal to 4.
On a number line, this is represented by a closed circle at 4 (indicating that 4 is included) and a line extending to the left toward negative infinity.
If you have multiple graph options, look for a graph that shows:
- A closed dot (or filled-in circle) at 4.
- A line extending to the left from the dot, covering all values less than 4.
If you provide the options, I can help determine which one correctly represents this solution.
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