Question

if A= {a,b,c,d,e,f} B={a,e,i,o,u} and C={m,n,o,p,r,s,t,u} compute the following
1.A Union B
2.A union C
3. B union C
4.A-B
5.A intersection B
6.B intersection C
7.A union (B-C)
8.(A intersection B) union C
9.A intersection (B intersection C)​

Answer 1

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$\star\rm{A}$ = {$\rm{a,b,c,d,e,f}$}

$\star\rm{B}$ = {$\rm{a,e,i,o,u}$}

$\star\rm{C}$ = {$\rm{m,n,o,p,r,s,t,u}$}

1. $\rm{A \;\cup \;B}$ = {a,b,c,d,e,f,i,o,u}

⠀

2. $\rm{A \; \cup \; C}$ = {a,b,c,d,e,f,m,n,o,p,r,s,t,u}

⠀

3. $\rm{B\;\cup\;C}$ = {a,e,i,o,u,m,n,o,p,r,s,t,u}

️

4. A - B = {b,c,d,f}

️

5. $\rm{A\;\cap\;B}$ = {a,e}

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6. $\rm{B\;\cap\;C}$ = {o,u}

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7. $\rm{A \cup (B-C)}$

→ ( B - C ) = {a,e,i}

→ $\rm{A \cup (B-C)}$= {a,b,c,d,e,f,i}

️

8. $\rm{(A\cap B)\cup C}$

→ $\rm{A\;\cap\;B}$ = {a,e}

→ $\rm{(A\cap B)\cup C}$ = {a,e,m,n,o,p,r,s,t,u}

Answer 2

Step-by-step explanation:

Refer to the attachments given....

Hope it helps u...