Question

X={a, e, i, o, u}Y={a, g, o, f} this is true or false n(A-B) = n(A) - n(AnB)​

Answer 1

Answer:

LHS :

A-B = {a,e,i,o,u} - {a,g,o,f}

= { e,i, u}

n(A-B) = {3}

RHS :

A = {a,e,i, o,u}

n(A) = {5}

AnB = {a,e,i,o,u} n {a,g,o,f}

= {a,o}

n(AnB) = {2}

n(A) - n(AnB) = {5} - {2}

= {3}

LHS = RHS

Hence proved.