If f : X -> Y and a, b ⊆ X, then f (a ∩ b) is equal toans.f(b) - f(a)a proper subset of f(a) ∩ f(b)f(a) ∩ f(b)f(a) - f(b) Previous Marked for Review Next
Question
If f : X -> Y and a, b ⊆ X, then f (a ∩ b) is equal toans.f(b) - f(a)a proper subset of f(a) ∩ f(b)f(a) ∩ f(b)f(a) - f(b) Previous Marked for Review Next
Solution
The correct answer is f(a) ∩ f(b). This is because the function f maps elements from set X to set Y. If a and b are subsets of X, then f(a) and f(b) are subsets of Y. The intersection of f(a) and f(b) is the set of elements that f maps from both a and b. Therefore, f(a ∩ b) is equal to f(a) ∩ f(b).
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