Question

if a={b, c, e, g, h} b={ a, c, d, g, i}c={a, d, e, g, b} verify the associative property of intersection ( ANB) nc= An(Bnc)
LHS RHS​

Answer 1

Answer:

a={b, c, e, g, h}

b={ a, c, d, g, i}

c={a, d, e, g, b}

(AnB)nC=An(BnC)

LHS:

AnB={b, c, e, g, h}n{ a, c, d, g, i}

=(c,g)

(AnB)nC=(c,g) n (a,d,e,g,b)

=(g)

RHS:

BnC={ a, c, d, g, i}n{a, d, e, g, b}

BnC=(d,g)

An(BnC)=(b,c,e,g,h)n(d,g)

=(g)

therefore LHS=RHS