A={x:x +10=10} is not an empty set true or false
Answers
Answer:
X is not an Empty set
X+ 10= 10
or X= 10-10
X= 0
a set containing 0 is not an Empty set
A={0}
Answer:
Q6)State true or false :
(i) All examples of the empty set are equal.
(ii) All examples of the empty set are equivalent.
(iii) If two sets have the same cardinal number, they are equal sets.
(iv) If n (A) = n (B) then A and B are equivalent sets.
(v) If B = {x : x + 4 = 4}, then B is the empty set.
(vi) The set of all points in a line is a finite set.
(vii) The set of letters in your Mathematics book is an infinite set.
(viii) If M = {1, 2, 4, 6} and N = {x : x is a factor of 12} ; then M = N.
(ix) The set of whole numbers greater than 50 is an infinite set.
(x) If A and B are two different infinite sets, then n (A) = n (B).
Solution :
(i) True, because all examples of the empty set must be equal as there is no element in all the set.
(ii) True, because all examples of the empty set must be equivalent as the number of element is same in all the set.
(iii) False, because cardial number means numer of element is equal not element is same.
(iv) True, because cardial number means number of element is equal.
(v) False
(vi) False, because the points on the line are infinite.
(vii) False, because the number of letters in Mathematics book is countable.
(viii) False, because the factor of 12 is {1,2,3,4,6,12} which is greater than the set M.
(ix) True, because there is infinite number of numbers greater than 50.
(x) False, because the infinite set is uncountable.