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Give an example of sets A and B such that there union is equal to B and there intersection is equal to A?
A = { 0 } B = { 0, 1 } Or, in fact, any set would would, as long as A = B. Or A = an empty set.
Are the diagonals of a rectangle equal in measure?
Yes, because the side a and side c are always equal in length and side b and side d are always equal in length.
How do you solve A intersecting B union C?
The answer depends on whether you mean A intersecting (B union C) or (A intersecting B) union C.
What is the difference between equals equals and equals in C programming?
a = b changes the value of a and makes it the same as the value of b. a == b does not change the values of a or b. It is an expression that is equal to 1 if a and b are the same or to 0 if a and b are different. For example: if ( a == b) { c = d;} means if a and b are the same, then set c equal to d. C does let you write the following: if ( a = b) { c = d;} This sets a equal to the value of b, and then if the new value of a is non-zero, it sets c equal to d. You can do this, but if you see a single equal sign in an "if" condition, that usually (but not always) is a mistake.
Give an example to show that if A union B and A intersection B be given then A and B may not be uniquely determined?
The set A union B can be decomposed into three disjoint sub sets A\ (A int B), B\(A int B), and (A int B). So in this case (A union B) and (A int B) are fixed but "moving" elelments from A\ (A int B) into B\(A int B) will not affect (A union B) and (A int B). You should be able to fill in the details now.
