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) True


A rational number is represented by the form 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) True


All crows are birds, so they are contained in the set of all birds.


(iii) False


Every square can be a rectangle, but every rectangle cannot be a square.


(iv) False


Every square can be a rectangle, but every rectangle cannot be a square.


(v) False


P = {a}


B = {{a}}


But {a} =P


B ={P}


Hence they are not equal.


(vi) True


A = For “LITTLE”


A = {L,I,T,E} = {E,I,L,T}


B = For “TITLE”


B = {T,I,L,E} = {E,I,L,T}


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