Question

if A= { b,c,e,g,h} ,B={ a,c,d,g,i} and C={ a,d,e,g,h} then show that A_(BUC) =( A_ B) U ( A_ C)​

Answer 1

Answer:

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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}