Find whether the set A = set of natural numbers less than 5 and B = set of all whole numbers between 6 and 11 and equal or non-equal sets. Give reason also.
Answers
(i) A = {first four natural numbers}
These are equivalent sets as both have equal numbers of elements but not the same.
(ii) A = Set of letters of the word “FOLLOW”
These are equal sets as they have equal and same elements.
(iii) E = {even natural numbers less than 10}
These are equivalent sets as both have equal numbers of elements but not the same.
(iv) A = {days of the week starting with letter S}
B = {days of the week starting with letter T}.
These are equivalent sets as they have equal number of elements
(v) M = {multiples of 2 and 3 between 10 and 20
N = {multiples of 2 and 5 between 10 and 20}.
These are equal sets as they have equal and same elements.
(vi) P = {prime numbers which divide 70 exactly}
Q = {prime numbers which divide 105 exactly}
These are equivalent sets as both have equal numbers of elements.
(vii) A = \left\{0^2,1^2,2^2,3^2,4^2\right\}{0
2 ,1 2 ,2 2 ,3 2
,4
2
} ={0, 1, 4, 9, 16}
B= {16, 9,4, 1, 0}
These are equal sets as they have equal and same elements.
(viii) E = {8,10, 12, 14, 16}
F = {even natural numbers between 6 and 18}
= {8,10,12,14,16}
These are equal sets as they have equal and same elements.
(ix) A = {letters of the word SUPERSTITION}
= {S,U,P,E,R,T,I,O,N}
B = {letters of the word JURISDICTION}.
= {J,U,R,I,S,D,C,T,O,N}
These are neither equal nor equivalent sets as these have different and unequal elements.
hope it helps you...
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