[Legacy] Set language and notation

$A \not\subset B$

$A \cap C = \varnothing$

There are 3 elements in set $A$ or $B$ or both.

$x$ is an element of $A$ but it is not an element of $C$.

On the Venn diagram below, shade the region that represents $A \cap B'$.

The universal set $\mathscr{E}$ and sets $P$, $Q$ and $R$ are such that

Complete the Venn diagram to show this information and state the value of $\mathrm{n}(R)$.

On each of the Venn diagrams below shade the region which represents the given set.

Write the following using set notation.

No student studies both music and design.

There are 100 students in the group. 39 students study art, 45 study music and 36 study design. 12 students study both art and music. 25 students study both art and design.

Complete the Venn diagram below to represent this information and hence find the number of students in the group who do not study any of these subjects.

On each of the diagrams below, shade the region which represents the given set.

The Venn diagram shows the number of elements in each of its subsets.

Complete the following.

$\mathrm{n}(P') =$

$\mathrm{n}((Q \cup R) \cap P) =$

$\mathrm{n}(Q' \cup P) =$

Illustrate the statements $A \subset B$ and $B \subset C$ using the Venn diagram below.

Write the following using set notation.

The letter $h$ is in the word maths.

Write the following using set notation.

The number of letters occurring in both of the words maths and exam is two.

List the elements of the set $P \cap Q'$.

Find the value of $x$, where $x = \mathrm{n}(A \cap B \cap C)$.

Find the value of $y$, where $y = \mathrm{n}(A \cap B' \cap C)$.

Hence show that $A' \cap B' \cap C = \varnothing$.

complete the Venn diagram,

state the value of $n(A' \cap B' \cap C)$,

write down the elements of the set $A' \cap B \cap C$.