Decide, among the following Sets are subsets of one and another A = {x:x R and x Satisfy : x ²-4x +3 =0 } B = {1,3}, C = {1,3,5}, D= {4,5,6}
Answers
Answered by
20
Step-by-step explanation:
A = {x:x R and x Satisfy : x ²-4x +3 =0 }
First of all factorise x² - 4x + 3 =0
= x² - 3x - x + 3
= x(x - 3) - 1(x - 3)
= (x - 1)(x - 3)
x = 1, 3
3 and 1 are the only solutions of x² - 4x + 3 = 0
Therefore , A = {1, 3}
B = {1,3}
C = {1, 3, 5}
D = {4, 5, 6}
Clearly,
A ⊂ B
B ⊂ A
A ⊂ C
B ⊂ C
Hope it helps you
Have a great day ahead
Take care
Similar questions