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Plzzz help me...... .. its urgent guys....today i have to submit it...

Answer»

Given:A=(x∈W/x<2} , B={ x∈N/1AXB) U (AXC)Solution:A=(x∈W/x<2} => A= {0,1}B={ x∈N/1 B= {2,3,4}AX(BUC)= {0,1} X{2,3,4,5} = {(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)}  ---> 1(AXB) U (AXC)= {0,1}X{2,3,4} U {0,1}X{3,5}= {(0,2),(0,3),(0,4),(1,2),(1,3),(1,4)} U {(0,3), (0,5),(1,3),(1,5)}= {(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)} ---> 2AS we see 1 and 2 are EQUAL, hence verified


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