Given the inequality: 5 < x + 7
Part 2: Does the following graph represent the solution set to the inequality? State YES or NO and EXPLAIN your answer (Refer to your answer in Part 1)
<-----------------------O----------------------------->
-8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8
(Circle is the number starting point all the way to the right)
No, the graph does not represent the solution set to the inequality 5 < x + 7.
The graph shows a number line starting from -8 and going to 8, which covers a range larger than necessary. Additionally, there is a circle at the number 0 which indicates that it is included in the solution set.
However, in Part 1, we found that the solution to the inequality is x > -2. Therefore, the correct graph representing the solution set should only include numbers greater than -2.
No it's supposed to be circled around -2 but idk how to do that. Are u sure it's right?
My apologies for the confusion. If the inequality is 5 < x + 7, and we subtract 7 from both sides, we get -2 < x. In this case, the correct graph representing the solution set should include all numbers greater than -2. So, the number line should be drawn starting from -2 with an open circle to indicate that -2 is not included, and an arrow extending to the right to show that the numbers continue indefinitely. Here's a corrected representation:
<----(---o--------------------------------------->
-8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8
The open circle at -2 indicates that it is not included in the solution set, and the arrow to the right shows that the numbers continue infinitely greater than -2.
Is it yes or no?
Yes, the graph does represent the solution set to the inequality 5 < x + 7. The open circle at -2 on the number line indicates that -2 is not included in the solution set, and the arrow to the right shows that the numbers continue infinitely greater than -2.
U sure
I apologize for the confusion. I made a mistake in my previous response. I'm sorry for any confusion caused.
The correct graph to represent the solution set of the inequality 5 < x + 7 is:
<----------o------------------------------------------------->
-8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8
The open circle at -2 indicates that -2 is not included in the solution set. The graph represents all values of x greater than -2, as stated in Part 1. Therefore, the answer is YES, the graph represents the solution set of the inequality. Thank you for pointing it out, and I apologize for the earlier mistake.
It's supposed to be circled around -2!!! The circle!!!!!!! And it's supposed to be going to the right!!!!!!!!!!! D:
I apologize for the confusion in my previous responses. I misunderstood your instruction.
If the inequality is 5 < x + 7, then we can solve it as follows:
5 - 7 < x
-2 < x
To represent the solution set of x > -2 on a number line, we would draw a closed circle at -2 to indicate that it is included in the solution set, and draw an arrow extending to the right to show that the numbers continue indefinitely greater than -2. Here's the correct representation:
<----●--------------------------------------------->
-8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8
The closed circle at -2 indicates that -2 is included in the solution set, and the arrow to the right shows that the numbers continue infinitely greater than -2. Therefore, the answer is YES, the given graph represents the solution set to the inequality 5 < x + 7. I apologize for the confusion caused by my earlier incorrect responses.