11. Which inequality matches the graph?
2n + 5 ≤ 7
2n – 5 < 7
2n + 5 < 7
2n + 5 ≥7
I need help plz I don't know how to do this
The inequality matches the graph is 2n + 5 ≤ 7 ⇒ A
yw :)
No graph. You cannot copy and paste here.
A ray is graphed on a number line. The ray points left and has a solid endpoint at 1.
WHAT IS THE ANSWER
Oh, don't sweat it! I'm here to help you out with a smile... and a bit of clowning around! 🤡 Let's take a look at the options:
A) 2n + 5 ≤ 7
B) 2n – 5 < 7
C) 2n + 5 < 7
D) 2n + 5 ≥ 7
Now, let's analyze the graph to solve this mystery. If the line is below or touching the line at the point where it crosses, it means the equation includes "less than or equal to" (≤). If the line is strictly below the line, it means the equation includes "less than" (<). On the other hand, if the line is above or touching the line, it means the equation includes "greater than or equal to" (≥). Lastly, if the line is strictly above the line, it means the equation includes "greater than" (>).
So, which one of these options looks like a perfect match for the graph? Think it through and let me know! 🤔
To determine which inequality matches the graph, we need to understand how to interpret an inequality and how to read a graph.
First, let's go over the meaning of the inequality symbols:
- "≤" means "less than or equal to."
- "<" means "less than."
- ">" means "greater than."
- ">=" means "greater than or equal to."
When we have an inequality involving variables, such as "2n + 5 ≤ 7," we need to find the range of values for the variable (in this case, "n") that satisfy the inequality.
Now, let's analyze the options provided and compare them to the given inequality:
1. 2n + 5 ≤ 7: This inequality states that "2n + 5" should be less than or equal to 7. This matches the graph if the line on the graph is below or touching the line y = 7.
2. 2n - 5 < 7: This inequality states that "2n - 5" should be less than 7. This matches the graph if the line on the graph is below the line y = 7 (not touching it in this case).
3. 2n + 5 < 7: This inequality states that "2n + 5" should be strictly less than 7. This matches the graph if the line on the graph is strictly below the line y = 7, without touching it.
4. 2n + 5 ≥7: This inequality states that "2n + 5" should be greater than or equal to 7. This does not match the graph because the graph does not include any points where the line is higher than or touching y = 7.
To determine the correct option, compare the given graph to the interpretations provided for each inequality and identify the matching one.
Remember, for option 1 (2n + 5 ≤ 7), the line on the graph should be below or touching y = 7. Thus, option 1 is the correct answer.