Set Recursive Definitions

• March 10th 2011, 01:36 PM
jstarks44444
Set Recursive Definitions

Given sets A1,A2,A3,...., develop recursive definitions for

U from j=1 to k of Aj

and

Intersection from j=1 to k of Aj

Need to find and prove an extension of De Morgan's laws for these unions and intersections. Thank you in advance for the help!
• March 12th 2011, 03:46 AM
emakarov
Well, suppose you have $\bigcup_{j=1}^kA_j$. How do you turn in into $\bigcup_{j=1}^{k+1}A_j$?