Question

If A = {1, 2, 3, 4}

B = {3, 4,5, 6, 7}

C = {6, 7, 8, 9}

D = {7, 8, 9, 10}

$\begin{array}{cc}ColumnA& ColumnB\\ 1.A\cup B& A.\{3,4,6,7\}\\ 2.A\cap B& B.\varnothing \\ 3.(B\cap C)\cup D& C.\{3,4\}\\ 4.B\cup C\cup D& D.\{3,4,5,6,7,8,9,10\}\\ 5.(A\cap B)\cap (B\cup C)& E.\{1,2,3,4,5,6,7\}\\ & F.\{6,7,8,9,10\}\\ & G.\{7\}\end{array}$

• A. 1 - b, 2 - a, 3 - c, 4 -e, 5-c
• B. 1 - e, 2 - c, 3 - f, 4 -d, 5-c
• C. 1 - e, 2 - c, 3 - f, 4 -d, 5-a​
• D. 1 - b, 2 - a, 3 - c, 4 -e, 5-f​

Answer 1

The correct option is B

1 - e, 2 - c, 3 - f, 4 -d, 5-c

A = {1, 2, 3, 4}

B = {3, 4, 5, 6, 7}

C = {6, 7, 8, 9}

D = {7, 8, 9, 10}

1. A $\cup$ B = {1, 2, 3, 4, 5, 6, 7}

2. A $\cap$ B = {3, 4}

3. B $\cap$ C = {6, 7}

(B $\cap$ C) $\cup$ D = {6, 7} $\cup$ {7, 8, 9, 10} = {6, 7, 8, 9, 10}

4. B $\cup$ C $\cup$ D = (B $\cup$ C) $\cup$ D

B $\cup$ C = {3, 4, 5, 6, 7, 8, 9}

(B $\cup$ C) $\cup$ D = {3, 4, 5, 6, 7, 8, 9} $\cup$ {7, 8, 9, 10} = {3, 4, 5, 6, 7, 8, 9, 10}

5. (A $\cap$ B) $\cap$ (B $\cup$ C) = {3, 4} $\cap$ {3, 4, 5, 6, 7, 8, 9}

= {3, 4}