## Question 3

Given: *U* = {Even numbers between 0 and 30}

*P* = {Multiples of 6 between 0 and 30}

*Q* = {Multiples of 4 between 0 and 30}

Find ${{(P\cup Q)}^{c}}$

Maths is funny

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Given: *U* = {Even numbers between 0 and 30}

*P* = {Multiples of 6 between 0 and 30}

*Q* = {Multiples of 4 between 0 and 30}

Find ${{(P\cup Q)}^{c}}$

Given that

M = {*x* : *x* is prime and $7\le x\le 13$}and

R = {y: y is a multiple of 3 and $6<y\le 15$}, find $M\cup R$

Given: *U* = {Even numbers between 0 and 30}

*P* = {Multiples of 6 between 0 and 30}

*Q* = {Multiples of 4 between 0 and 30}

Find ${{(P\cup Q)}^{c}}$

From the Venn diagram above the shaded part represents

If *P* = {1, 2, 3, 4, 5} and $P\cup Q=\{1,2,3,4,5,6,7\}$ , list the elements in *Q*

$\begin{align} & \text{If }P=\{x:x\text{ is odd, }-1<x\le 20\}\text{ and }Q=\{y:y\text{ is prime, }-2<y\le 25\},\text{ find }P\cap Q \\ & \text{(A) }\!\!\{\!\!\text{ 3,5,7,11,17,19 }\!\!\}\!\!\text{ } \\ & \text{(B) }\!\!\{\!\!\text{ 3,5,11,13,17,19 }\!\!\}\!\!\text{ } \\ & \text{(C) }\!\!\{\!\!\text{ 3,5,7,11,13,17,19 }\!\!\}\!\!\text{ } \\ & \text{(D) }\!\!\{\!\!\text{ 2,3,5,7,11,13,17,19 }\!\!\}\!\!\text{ } \\\end{align}$

*P,Q* and *R* are subset of the universal set *U*. The Venn diagram show showing the relationship $(P\cap Q)\cup R$ is

In a class of 46 students, 22 play football and 26 play volleyball. If 3 students play both games, how many play neither?

If P is a set of all prime factors of 30 and Q is a set of all factors of 18 less than 10, find $P\cap Q.$

From the venn diagram, above, the complement of the set is given by