Question

If the universal set A={2,3} B = {1, 2, 3,4}
C = {3, 4, 5, 6} verify Ax(BnC)=(AxB) n (AxC)​

Answer 1

$\huge\underline\blue{Answer:-}$

$\orange{First:- B \cap C}$= {3,4}

$A × B \cap C = (A × B)\:\cap( A × C)$

• A × $\orange{{{( 3,4 )}}}$ = [ {2,1},{2,2},{2,3},{2,4},{3,1},{3,2},{3,3},{3,4}]$\:\cap$[{2,3},{2,4},{2,5},{2,6},{3,3},{3,4},{3,5},{3,6}]
• {2,3},{2,4},{3,3},{3,4} = {2,3},{2,4},{3,3},{3,4}

$\Large\underline\right{Hence\:Proved}$