Download Grade 7 Introduction to Sets and Venn Diagrams: A Comprehensive Guide and more Study notes Mathematics in PDF only on Docsity!
Grade 7 Sets Notes INTRODUCTION TO SETS What is a set? What is a set? Well, simply put, it's a collection. For example, the items you wear: hat, shirt, jacket, pants, and so on. I'm sure you could come up with at least a hundred. This is known as a set. Or another example is types of fingers. This set includes index, middle, ring, and pinky. There is a fairly simple notation for sets. We simply list each element (or "member") separated by a comma, and then put some curly brackets around the whole thing:
Describing a Set
- R = {a, e, i, o, u} Answer : The set R is a list of vowels.
- G = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9} Answer: G contains whole numbers less than 10.
- D = {a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z} Answer: D contains letters in the English alphabet. Listing a Set
- Let X be the set of odd numbers less than 12. Answer: X = {1, 3, 5, 7, 9, 11}
- Let Y be the set of all continents of the world. Answer: Y = {Asia, Africa, North America, South America, Antarctica, Europe, Australia}
- Let T be the set of all days in a week. Answer: T = {Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, Sunday}
- Complement of a Set In set theory, the complement of a set A refers to elements not in A For example: U = { 1 ,2 , 3 , 4 , 5 , 6 } This is the UNIVERSAL SET B= { 2, 4 , 6 }
The complement of a set , denoted A'
However, A' is everything that is not in A. A'= { 1 , 3 , 5 }
4. Subset of a set A subset is a set of elements that are also in another set. For example: A= { a , b , c , d } B = { b , d } We can say that B is a subset of A because the elements in B are in A.
Grade 7 Sets Notes # 2 VENN DIAGRAM A Venn diagram uses overlapping circles or other shapes to illustrate the logical relationships between two or more sets of items. In the diagram below, there are two sets, A = {1, 5, 6, 7, 8, 9, 10, 12} B = {2, 3, 4, 6, 7, 9, 11, 12, 13}. The section where the two sets overlap has the numbers contained in both Set A and B, referred to as the intersection of A and B. TERMS
- Union - The UNION of two sets is the set of elements which are in either set.
(ii) Find QUESTION 2: Given = { 0,1,2,3,4,5,6,7,8,9 } , P = {3,6,9} and Q = {2,4,6,8}, draw a Venn diagram to represent these sets.
Find:
- Find the INTERSECTION of the following sets
- Draw a Venn Diagram to illustrate each of the following sets.
- State the complement of each letter from the Venn Diagram below. (a) ๐ต โฒ = {^ }^ ๐ด โฒ = {^ }
- From the Venn Diagram below, answer the following questions. (a) ๐ด โช ๐ต = { } (b) ๐ด โฉ ๐ต = { } (c) ๐ดโฒ= { } (d) ๐ต โฒ = { } (e) ๐ = { } ( ๐กโ๐ ๐๐๐๐ฃ๐๐๐ ๐๐ ๐๐๐ก )
