Mathematics
Answer
A = {4, 5, 6}
B = {x : x2 - 5x - 6 = 0}
⇒ B = {x : x2 - 6x + x - 6 = 0}
⇒ B = {x : x(x - 6) + 1(x - 6) = 0}
⇒ B = {x : (x - 6)(x + 1) = 0}
⇒ B = {x : (x - 6) = 0 or (x + 1) = 0}
⇒ B = {x : x = 6 or x = -1}
⇒ B = {6 , -1}
As 6 is a common element in A and B,
Hence, A and B are not disjoints set.
Related Questions
Find which of the following sets are singleton sets :
(i) The set of points of intersection of two non-parallel straight lines on the same plane.
(ii) A = {x : 7x - 3 = 11}
(iii) B = {y : 2y + 1 < 3 and y ∈ W}
Find which of the following sets are empty :
(i) The set of points of intersection of two parallel lines.
(ii) A = {x : x ∈ N and 5 < x ≤ 6}.
(iii) B {x : x2 + 4 = 0 and x ∈ N}.
(iv) C = {even numbers between 6 and 10}.
(v) D = {prime numbers between 7 and 11}.
Are the sets A = {b, c, d, e} and
B = {x : x is a letter in the word 'MASTER'} joint ?State whether the following pairs of sets are equivalent or not :
(i) A = {x : x ∈ N and 11 ≥ 2x - 1} and
B = {y : y ∈ W and 3 ≤ y ≤ 9}.(ii) Set of integers and set of natural numbers.
(iii) Set of whole numbers and set of multiples of 3.
(iv) P = {5, 6, 7, 8} and M = {x : x ∈ W and x ≤ 4}.