Question

3. Let P = {a,b,c,d,e,f,g,h,i,j,k,l}
Q ={a,e,i,o,u}
R= {g, h,i,j,k,1}
Find 1. PUQ

2.QnR
3. n(PUR)
4. QUR
5. PUR
6. n(PUR)
7. n(QUR)
8. nQn R)
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Answer 1

Answer:

Given, P= {a,b,c,d,e,f,g,h,I,j,k,l}

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

R= {g,h,i,j,k,l}

now,1)PUQ= {a,b,c,d,e,f,g,h,i,j,k,l}U{a,e,i,o,u}

= {a,b,c,d,e,f,g,h,i,j,k,l,o,u}

2)QnR= {a,e,i,o,u}n{g,h,i,j,k,l}

= {i}

3)n(PUQ)= n{a,b,c,d,e,f,g,h,I,j,k,l,o,u}

= 14

4)QUR={a,e,i,o,u}U{g,h,i,j,k,l}

= {a,e,i,o,u,g,h,j,k,l}

5)PUR= {a,b,c,d,e,f,g,h,i,j,k,l}U{g,h,i,j,k,l}

= {a,b,c,d,e,f,g,h,i,j,k,l}

6)n(PUR)= n{a,b,c,d,e,f,g,h,i,j,k,l}

= 12

7)n(QUR)= n{a,e,i,o,u,g,h,j,k,l}

= 10

8)n(QnR)= n{i}

= 1