- #1

spaghetti3451

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## Homework Statement

Can you conclude that A = B if we know that

(a) A [itex]\cup[/itex] C = B [itex]\cup[/itex] C

(b) A [itex]\cap[/itex] C = B [itex]\cap[/itex] C

(c) A [itex]\cup[/itex] C = B [itex]\cup[/itex] C and A [itex]\cap[/itex] C = B [itex]\cap[/itex] C

## Homework Equations

## The Attempt at a Solution

A=B in all three cases, but I can't find a rigorous proof for any of these cases.

Any help would be greatly appreciated.