The question is on sets not solving for a straight line, the info on A is in one circle and B in the other circle, X is the intersection between both circles and i still don't have the working, even though i know the ans is 9 i need the working to be sure i did it correctly.
Dr WLS gave you the answer but I will elaborate:
The answer is in both set A and in set B since it is the intersection.
Therefore the question is: Where is 3x-4 also 2x+5.
To find out for what x this is true, set them equal.
3x-4=2x+5
3x-2x = 5+4
x = 9
To find the working for the problem involving sets, circles, and intersections, you can use the concept of set operations and visual representations.
Step 1: Understand the problem
From your description, it seems like you are dealing with two sets, A and B, represented by two circles. The intersection of these two sets is represented by the point X. You need to find the value of X.
Step 2: Represent the sets visually
Draw two circles on a piece of paper or use a diagramming tool. Label one circle as A and the other as B. Make sure the circles intersect and label the intersection point as X.
Step 3: Define the sets
For example, you might have:
A = {1, 3, 5, 7}
B = {5, 7, 9, 11}
Step 4: Find the intersection of the sets
To find the intersection of sets A and B, you need to identify the common elements in both sets.
In this case, we see that the common elements between A and B are 5 and 7. Therefore, the intersection set is:
A ∩ B = {5, 7}
Step 5: Determine the number of elements in the intersection set
Count the number of elements in the intersection set. In this case, there are two elements, 5 and 7.
Therefore, the answer is:
|A ∩ B| = 2
Step 6: Verify the answer
You mentioned that the answer is 9. If |A ∩ B| is indeed 9, it means there might be some misunderstanding or additional information required to solve the problem. Double-check the information given and make sure that the question is correctly interpreted.
By following these steps, you should be able to find the intersection of sets A and B and determine the number of elements in that intersection.