Q. Let E={2,6} and F={1,3,4,5,7}. What is E∩F?Choices:(A) ∅(B){1,2,3,4,5,6,7}(C){1,2,5,6}(D){1,2,5,6,7}
Define Sets E and F:E={2,6} and F={1,3,4,5,7} are given. To find the intersection E∩F, we need to find the elements that are common to both sets E and F.
Find Common Elements: We compare each element of set E with each element of set F to determine if there are any common elements.
Check Element 2: The element 2 from set E is not present in set F, which contains \{$\(1\), \(3\), \(4\), \(5\), \(7\)\}.
Check Element \(6\): The element \(6\) from set \(E\) is also not present in set \(F\), which contains \{\(1, 3, 4, 5, 7\)\}.
Identify Intersection: Since there are no common elements between set \(E\) and set \(F\), the intersection \(E \cap F\) is the empty set, denoted by \(\emptyset\).