SOLUTIONS - VENN DIAGRAMS 2

QUESTION 1


QUESTION 2

(i)

(ii) (a) LaTeX: S\cup T=\left\{l,\:m,\:k,\:p,\:q\right\} (b) LaTeX: S'=\left\{q,\:r\right\}


QUESTION 3

(i)

(ii) LaTeX: \left(M\cup N\right)'=\left\{15,\:21,\:25\right\}


QUESTION 4

(i)

(ii) (a) LaTeX: P\cap Q=\left\{2,\:5\right\} (b) LaTeX: \left(P\cup Q\right)'=\left\{4,\:6,\:7\right\}


QUESTION 5

(i)

(ii) (a) LaTeX: T\cap E=\left\{6,\:12\right\} (b) LaTeX: \left(T\cup E\right)'=\left\{1,\:5,\:7,\:11\right\}


QUESTION 6

(i) LaTeX: A=\left\{1,\:2,\:3,\:4,\:6,\:12\right\}

(ii) LaTeX: B=\left\{3,\:6,\:9,\:12,\:15\right\}

(iii)

(iv) LaTeX: \left(A\cup B\right)'=\left\{5,\:7,\:8,\:9,\:10,\:11,\:13,\:14\right\}


QUESTION 7

(i) LaTeX: n\left(A\cup B\right)=17

(ii) LaTeX: n\left(A\cap B\right)=4

(iii) LaTeX: n\left(A\cap B\right)'=21


QUESTION 8

(i) LaTeX: A={even numbers less than 10}

LaTeX: B={multiples of 3 less than 10}

(ii) LaTeX: A\cap B={even multiples of 3 less than 10}

(iii) LaTeX: n\left(A\cup B\right)'=3