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.

Asked by Aaryan | 1 year ago | 36

**(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}.