Exercises: Introduction to Sets and Types of Sets

A collection of distinct objects or items

Any list of numbers, even if some repeat

A single object, like one book or one chair

A and B are equal sets — they contain exactly the same elements.

A and B are equivalent sets, but not equal, because they have the same count.

A and B are unequal sets, because they are written separately.

Equal sets — both sets have exactly the same items (3 identical red circles each).

Equivalent sets — both sets have the same count but different items.

Unequal sets — the two sets have different numbers of items.

C and D are equal sets, because they both have 3 items.

C and D are equivalent sets — same number of elements, but different items.

C and D are unequal sets, because red and blue are different colors.

Equal sets, because both sets contain exactly 2 items that look similar in role.

Unequal sets, because a book and a pen are completely different kinds of objects.

Equivalent sets, because both sets have the same count (2 elements) even though the items themselves are different.

Equivalent sets, because G and H share the elements 1, 2, and 3 in common.

Unequal sets — G has 4 elements and H has 3 elements.

Equal sets, because both sets are made up of consecutive whole numbers starting from 1.