Question

Consider the sets = {a,b,c, d, e, f,g), A = {b, c, d, e}and B = {a,c,g).
Find A and B' and verify that (AUB)' = A' B'​

Answer 1

Step-by-step explanation:

We know that complement of set A is

A

′

=U−A

Given U={a,b,c,d,e,f,g,h}

(i) A={a,b,c}

A

′

={d,e,f,g,h}

(ii) B={d,e,f,g}

∴B

′

={a,b,c,h}

(iii) C={a,c,e,g}

∴C

′

={b,d,f,h}

(iv) D={f,g,h,a}

∴D

′

={b,c,d,e}

Answer 2

Step-by-step explanation:

B'={b,d,e,f}

A={b, c,d,e}