Can somebody please solve urgent? This question is from sets chapter of 11th grade math. Please help me. I will mark your answer brainliest but please help.
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Can somebody please solve urgent? This question is from sets chapter of 11th grade math. Please help me. I will mark your answer brainliest but please help.
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Answer:B = C If and and A , B and C be the sets.
Given:
A, B and C be the sets such that
To show:
B = C
Proof:
As we can see in the question that the value of X in the scenario of A∪B=A∪C, now as we can see that all the value of B is in A and C, therefore X is equal to both A and X
Now the question says that A∩B=A∩C
Thus we can say that both C and B have the value of A in their sets respectively, therefore, we can also say that if values of B are in C, then vice versa is also possible.
Therefore, taking both the cases we can say that the values of B are in C and vice versa,
Hence, B = C.
Hence Proved.
Step-by-step explanation: