Posted by **dreww1961** on Thursday, October 14, 2010 at 12:40am.

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(T1-T2).

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

## Answer This Question

## Related Questions

- Modern (Abstract) Algebra - Let f:A->B, where A and B are nonempty Prove that...
- Modern (Abstract) Algebra - Let f:A->B, where A and B are nonempty Prove that...
- Math - What cross sections might you see when a plane intersects a cone that you...
- Math - What cross sections might you see when a plane intersects a sphere that ...
- geometry - In a triangle ABC,E and F are the mid-points of AC and AB ...
- Math geometry - Given AB intersects BD <EFG and <CBD are complementary ...
- Geometry - In quadrilateral exam EA intersects XM at G and XM bisects angle EXA ...
- maths --plse help me.. - prove that the lines through a(0,-1,-1) and b(4,5,1) ...
- Math - How would I prove the following (With a formal mathematical proof)?: If a...
- Geometry - Suppose that line t is tangent to circle center O and radius OP at ...

More Related Questions