Good morning students How are you today Relation

- Good morning students. - How are you today? Relation and function Click when ready

Answer Assignments The day At sunrise Sunday 6. 04 Monday 6. 03 Tuesday 6. 05 Wednesday 6. 01 Thursday 6. 03 Friday 6. 02 Saturday 6. 01

Cartesian Produdts A cartesian products the direct multiplication (products) of Two sets. The cartesian products of two sets, A (for example is. The points on the x-axis), is represented by: A x B is the set of all possible ordered pairs whose first element is a member of A and whose second element is a member of B.

This is called ‘ordered pairs’ First element Second element X is the Element Of A Y is the Element Of B

Example 1 Consider the following two sets A = {2 , 3} and B= { 5 , 7 } The cartesian products is written as A x B = {(2 , 5) , (2, 7) , (3, 5) , (3, 7)}

Example 2 Consider the following two sets A = {1, 2 , 3} and B={ a , b } The cartesian products is written as A x B = { (1 , a) , (1, b) , (2, a) , (2, b) , (3, a) , (3, b)}

Example 3 Consider the following two sets A = {2, 3, 4} and B = {5, 6, 8, 9 } The cartesian products is written as A x B = { (2 , 5) , (2, 6) , (2, 8) , (2, 9) , (3, 5) , (3, 6), (3, 8) , (3, 9), (4, 5) , (4, 6) , (4, 8) , (4, 9)}

Homework Exercises A 1 Consider the following two sets The cartesian products is written as A x B 1. A = {3, 4 , 5} and B = { x , y } 2. A = {6, 8} and B {1, 4, 7} 3. A = {1, 5, 7, 9} and B = { 2 , 5 } 4. A = {m, n} and B {2, 4, 8} 5. A = {3, 6, 9} and B = { 1 , 2 , 5 }

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