Q. 14.4( 36 Votes )

# Which of the following are sets? Justify your answer.

(i) The collection of all the months of a year beginning with the letter “J”

(ii) The collection of ten most talented writers of India.

(iii) A team of eleven best cricket batsmen of the world.

(iv) The collection of all boys in your class.

(v) The collection of all even integers.

Answer :

We know that a set is a collection of things that have something in common or follow a rule. Set notation uses brace {} with elements separated by commas.

(i) Collection of all months of a year beginning with the letter “J” = {January, June, July}

∴ This is a set.

(ii) Collection of ten most talented writers in India cannot be accurately defined.

∴ This is not a set.

(iii) Team of eleven best cricket batsmen of the world cannot be accurately defined.

∴ This is not a set.

(iv)Collection of boys in class = {Rohan, Sushant, Mohan, Rehan}

∴ This is a set.

(v) Collection of all even integers = {… -4, -2, 0, 2, 4, …}

∴ This is a set.

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If A = {0, 2, 4, 6}, B = {3, 5, 7} and C = {p, q, r} then fill the appropriate symbol, ∈or in the blanks.

(i) 0 ….. A (ii) 3 ……… C

(iii) 4 …… B (iv) 8 ……… A

(v) p ……. C (vi) 7 ……… B

AP- Mathematics