Example 7 - Chapter 1 Class 11 Sets
Last updated at Dec. 8, 2016 by Teachoo
Transcript
Example 7 Find the pairs of equal sets, if any, give reasons: A = {0}, B = {x : x > 15 and x < 5}, C = {x : x – 5 = 0 }, D = {x: x2 = 25}, E = {x : x is an integral positive root of the equation x2 – 2x –15 = 0}. A A = {0} B No number can be greater than 15 and less than 5 simultaneously. B = {} = Φ C x – 5 = 0 , x = 5 . So, C = {5} A = {0}, B = {x : x > 15 and x < 5}, C = {x : x – 5 = 0 }, D = {x: x2 = 25}, E = {x : x is an integral positive root of the equation x2 – 2x –15 = 0}. D x2 = 25 x = ±5 So, D = { +5,-5} E x2 – 2x -15 =0 x2 – 5x + 3x – 15 =0 x(x – 5) + 3 (x – 5) (x-5)(x+3) = 0, x = 5 , -3 E = { 5} Thus, A = {0} B = { } C = {5} D = { +5,-5} E = { 5} Therefore only C = E ,as there elements are exactly the same
Examples
Example 1
Example 2
Example 3
Example 4
Example 5
Example 6
Example 7 You are here
Example 8
Example 9
Example 10
Example 11
Example 12
Example 13
Example 14
Example 15
Example 16
Example 17
Example 18
Example 19
Example 20
Example 21
Example 22
Example 23
Example 24
Example 25
Example 26
Example 27
Example 28
Example 29
Example 30
Example 31
Example 32
Example 33
Example 34
Chapter 1 Class 11 Sets
Serial order wise
About the Author
Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 9 years. He provides courses for Maths and Science at Teachoo.