math
posted by dreww1961 .
Let f:A>B, where A and B are nonempty, and let T1 and T2 be subsets of B.
a.Prove that f^1(T1 U T2)= f^1(T1) U f^1(T2).
b.Prove that f^1(T1 intersects T2) = f^1(T1) intersects f^1(T2). I think once I see a I can do b.
c. Prove that f^1(T1)  f^1(T2) = f^1(T1T2).
d. Prove that if T1 is a proper subset of T2, then f^1(T1) is a proper subset of f^1(T2).
I am confused on this one and need some help understanding inverse mapping. Thank you
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