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MATH 7 Virtual Class Are you excited for a fun learning session? ATTENDANCE Is everyone present today? Observe our VIRTUAL CLASSROOM RULES Be on Time! Dress appropriately. Mute yourself except when you are permitted to speak. Raise your hand virtually for permission to speak. Keep your video on for attendance purposes. Avoid distracting backgrounds or actions. Encourage each other with appropriate response emojis. INTRODUCTION TO What you will learned; SET Basic concepts of sets. Kind of sets and Cardinality of sets. Operation on sets What is SETS? A SET is a collection of well-defined distinct objects or things. Distinct means that elements should not be repeated. Elements the objects or things in the collection. Normally, sets are denoted by CAPITAL LETTERS. EXAMPLE A = {1, 2, 3, 4, 5 } C = { l, o, v, e } B = {1, 3, 5, …} D = { c, a, r, e } F = {x │ x ( this is read as set of x such that x) is a positive number less than 6} G = {y│ y is a letter from the alphabet} H = {d │d is a number greater than 8} There are two ways of describing a set. Listing/Roster method, in this form, we enumerate or list all the element. A variation of the simple roster method uses the ELLIPSIS ( … ) when the pattern is obvious and the set is large. {1, 3, 5, 7, … , 9007} is the set of odd counting numbers less than or equal to 9007. {1, 2, 3, … } is the set of all counting numbers. Listing/Roster method Examples 1) A is a set of whole numbers less than 6. A = { 0,1,2,3,4,5} 2) C is the set of letters in the word excellent. C = { e, x, c, l, n, t } There are two ways of describing a set. Set-builder form ( Rule method) in this method , we specify the rule or property or statement. Note: A = { x | x has a property of p} This is read as A is the set of elements x such that( | ) x has a property p. Set-builder form ( Rule method) Example : A = { 2,4,6,8,10,12} Solution : In set A all the elements are even natural number up to 12.So this is the rule for the set A So set builder notation will be A = { x | x is an even natural number, x ≤ 12} Set-builder form ( Rule method) Example : K = { 10,11,12,13} Solution : In set K all the elements are numbers between 9 to 14 .So this is the rule for the set K So set builder notation will be K = { c │c are numbers between 9 to 14 } How can you express the following in rule form 1. I = { 7, 8, 9, 10, 11, 12, 13, 14 } I = {a | a are positive whole numbers from 7 to 14} How can you express the following in rule form 2. J = { m, a, t, h} J = {b | b are letters of the word math} How can you express the following in rule form 3. L = {45, 46, 47, …} L = {d | d are positive whole numbers greater than 44} How can you express the following in rule form 4. M = { 2, 1, 0, -1 ... } M = {e | e are integer numbers less than 3} Practice Time How can you express the following in rule form into the roster method. Rule Form Roster Method A ={x I x is an even number less than 12 } A = { 0, 2, 4, 6, 8,10} F = { x I x is a vowel } F = {a, e, i, o, u } K = { x I x is an odd number greater than 10 } K = {11, 13, 15, 17,...}