Write which of the following statements are true? Justify your answer.
(i) The set of all integers is contained in the set of all rational numbers.
(ii) The set of all crows is contained in the set of all birds.
(iii) The set of all rectangles is contained in the set of all squares.
(iv) The set of all rectangle is contained in the set of all squares.
(v) The sets P = {a} and B = {{a}} are equal.
(vi) The sets A={x: x is a letter of word “LITTLE”} AND, b = {x: x is a letter of the word “TITLE”} are equal.
(i) Right answer is True
Explanation:-
A rational number is represented by the form \( \dfrac{p}{q}\) where p and q are integers and (q not equal to 0) keeping q = 1 we can place any number as p. Which then will be an integer.
(ii) Right answer is True
Explanation:-
Crows are also birds, so they are contained in the set of all birds.
(iii) Right answer is False
Explanation:-
Every square can be a rectangle, but every rectangle cannot be a square.
(iv) Right answer is False
Explanation:-
Every square can be a rectangle, but every rectangle cannot be a square.
(v) Right answer is False
Explanation:-
P = {a}
B = {{a}}
But {a} = P
B = {P}
Hence they are not equal.
(vi) Right answer is True
Explanation:-
A = For “LITTLE”
A = {L, I, T, E} = {E, I, L, T}
B = For “TITLE”
B = {T, I, L, E} = {E, I, L, T}
A = B
Answered by Sakshi | 1 year agoFind the symmetric difference A Δ B, when A = {1, 2, 3} and B = {3, 4, 5}.