if A(2,4) andB ( x:x is a dolution of x^2+6x+8=o ) then A and B are equal sets are disjoint sets
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Given : A(2,4) and B ( x:x is a solution of x²+6x+8= 0 )
To find : A and B are equal sets or Disjoint set
Solution:
B ( x:x is a solution of x²+6x+8= 0 )
x²+6x+8= 0
=> x² + 4x + 2x + 8 = 0
=> x(x + 4) + 2(x + 4) = 0
=> (x + 2)(x + 4) = 0
=> x = -2 or x = -4
=> B = {-2 , - 4}
A = { 2 , 4} B = { -2 , - 4}
Two sets are said to be equal, if they contain the same elements.
Hence A & B are not Equal set
two sets are said to be disjoint sets if they have no element in common.
A & B does not have any element common
hence A& B are disjoint set
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