# Discrete Structures : Onto and One-to-one

Not what you're looking for? Search our solutions OR ask your own Custom question.

Prove or disprove (find a counterexample) : If A C B and f : A --> B is an onto function (the range of f is all of B), then f is one-to-one and A =B.

Please see the attached file for the fully formatted problem.

Â© BrainMass Inc. brainmass.com March 4, 2021, 6:18 pm ad1c9bdddfhttps://brainmass.com/math/discrete-structures/discrete-structures-onto-one-one-39261

#### Solution Preview

Because, b belong to B and a belong to A,

f: A ->B <==> b = f(a)

Because, range (f) = B

And

Because, by ...

#### Solution Summary

The discrete structures of onto and one-to-one are determined.

$2.49