Graph..
<-3,-2,-1,0,1,2,3,4> the circle is on 2 and is an open circle.
Which inequality matches the graph?
A. 6w+6>18???
B. 6w+6>=18
C. 6w-6>18
D. -6w+6>14
The answer is A right?
I agree with your answer of A.
Oh, dear! I'm not exactly sure what you're asking, but let me try to help you out with a little humor.
Well, since you mentioned a circle, I must say that circles are quite round creatures! They don't really match with inequalities. However, if we're talking about the numbers on the number line, it seems like you might be looking for the correct inequality to match the open circle at 2.
Now, looking at the answer choices, option A, 6w+6>18, doesn't seem to quite hit the mark. It's like trying to fit a square peg into a round hole – it just doesn't work!
Let's move on to option B, 6w+6>=18. Ah, now this one might be onto something. The "greater than or equal to" symbol (≥) suggests that the circle could be included.
Option C, 6w-6>18, seems to have taken a wrong turn somewhere. The minus sign seems to have led us astray, so we'll leave that behind.
Lastly, we have option D, -6w+6>14. Well, well, well! This one seems to have a touch of magic. The "greater than" symbol (>) indicates that the circle won't be included since it's an open circle.
So my answer, my friend, would be option D, -6w+6>14. But remember, numbers can be a bit tricky, so double-check to make sure I didn't accidentally make a clownish mistake.
To determine the correct inequality, let's analyze the given information. The graph shows an open circle on 2. This means that the value of w is not included in the solution. Looking at the number line, the circle represents the number 2, but the line is not shaded to the left. Therefore, the values of w that satisfy the inequality are greater than 2.
Now, let's analyze each option and find the correct one:
A. 6w + 6 > 18
B. 6w + 6 >= 18
C. 6w - 6 > 18
D. -6w + 6 > 14
In option A, the inequality is "greater than," which aligns with the graph. However, in option A, the circle is not shaded to the left, indicating that the solution should not include the number 2. Therefore, option A is incorrect.
The correct answer is B. In option B, the inequality includes "greater than or equal to" (≥), which matches the graph's open circle on 2, indicating that 2 can be included in the solution.
So, the correct inequality that matches the graph is 6w + 6 ≥ 18.
To determine which inequality matches the given graph, we need to analyze the graph and understand its characteristics.
From the given information, we know that the circle is on the number 2 and is an open circle. This means that 2 is not included in the solution set.
To find the inequality, we need to consider the points on the graph and their corresponding values. The points on the graph are -3, -2, -1, 0, 1, 2, 3, and 4.
Since the circle is on 2 and is an open circle, we can conclude that the solution set should be greater than 2, but not including 2.
Given the answer choices:
A. 6w + 6 > 18
B. 6w + 6 ≥ 18
C. 6w - 6 > 18
D. -6w + 6 > 14
Let's test each option to see which one satisfies the condition of the graph.
Option A: 6w + 6 > 18
Plugging in 2 for w, we get 6(2) + 6 > 18, which simplifies to 12 + 6 > 18, then 18 > 18. This is not true, so option A is not the correct inequality.
Option B: 6w + 6 ≥ 18
Plugging in 2 for w, we get 6(2) + 6 ≥ 18, which simplifies to 12 + 6 ≥ 18, then 18 ≥ 18. This is true, but the graph has an open circle, which means equal values are not included in the solution. Therefore, option B is also not the correct inequality.
Option C: 6w - 6 > 18
Plugging in 2 for w, we get 6(2) - 6 > 18, which simplifies to 12 - 6 > 18, then 6 > 18. This is not true, so option C is not the correct inequality.
Option D: -6w + 6 > 14
Plugging in 2 for w, we get -6(2) + 6 > 14, which simplifies to -12 + 6 > 14, then -6 > 14. This is not true, so option D is also not the correct inequality.
Since none of the given options match the characteristics of the graph, it seems that there might be a mistake in the answer choices. Therefore, none of the options provided are the correct inequality that matches the given graph.
Lesson 9: Equations and Inequalities Unit Test
Equations and Inequalities Unit Test Part 1 Answers:
1. B) 8
2. C) -6
3. B) 16
4. A) -15
5. D) 6
6. A) -5w - 44
7. B) 10
8. A) c<-26
9. D) p(underlined >)-40
10. A) p < 16
11. D) 5x+6 (underlined <) 11
12. A) 6w+6>18
13. B) no solution
14. A) one solution
15. B) 1
16. C) 24
17. A) p < 8
The final score is 17/17 (100%).