True or False? The rectangle drawn around a Venn diagram represents the universal set.

True. The rectangle stands for the universal set , and each circle drawn inside it stands for one set. Two circles are drawn overlapping only where the sets share elements.

IGCSEMathsCambridge (CIE)International MathsCoreFlashcardsNumberSets

Sets (Cambridge (CIE) IGCSE International Maths: Core): Flashcards

Exam code: 0607

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FrontSet Notation & Venn Diagrams
Define a set.

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Define a set.
A set is a collection of elements, which may be numbers, letters, coordinates or anything else.
Its elements are listed inside curly brackets, so the factors of 6 form the set $\{1, 2, 3, 6\}$ .
What is the universal set?
The universal set is the set of everything being considered, written $E$ .
If a question is only concerned with the factors of 24, then $E$ is the set of those factors and nothing else.
What does $n (A)$ mean?
It is the number of elements in set $A$ .
If $A = \{1, 4, 9\}$ then $n (A) = 3$ .
What does $x \in A$ mean?
That $x$ is an element of the set $A$ , meaning $x$ is one of the things in $A$ .
If $A = \{2, 6, 12\}$ then $6 \in A$ is true.
What does $A \cap B$ mean?
The intersection of $A$ and $B$ , which is the set of elements that are in both sets.
On a Venn diagram it is the region where the two circles overlap.
What does $A \cup B$ mean?
The union of $A$ and $B$ , which is the set of elements in at least one of the sets.
This includes everything in the overlap, but each element is written only once.
True or False?
The rectangle drawn around a Venn diagram represents the universal set.
True.
The rectangle stands for the universal set, and each circle drawn inside it stands for one set.
Two circles are drawn overlapping only where the sets share elements.
For $A = \{2, 6, 12, 14, 28\}$ and $B = \{7, 14, 21, 28, 35\}$ , complete the two statements:
$A \cap B =______$
$n (A) =______$
The completed statements are:
$A \cap B = \{14, 28\}$
$n (A) = 5$
Only 14 and 28 appear in both lists, and $A$ has five elements altogether.

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