(Q3).State which of the following sets are finite and which are infinite. Give reasons for your answer.

(i) A = {x : x ∈ N and x < 100}

A = {1, 2, , 4, ... , 98, 99}

This set is , because there are numbers possible to count.

(ii) B = {x : x ∈ N and x ≤ 5}

B = {, , , , }

This set is because there are numbers possible to count.

(iii) C = {12 , 22, 32, ……}

C = {12 , 22, 32, ……}

This set is because there are numbers.

(iv) D = {1, 2, 3, 4}

D = {1, 2, 3, 4}

This set is because there are numbers that are possible to count.

(v) {x : x is a day of the week}

E = {Sunday, Monday, Tuesday, Wednesday, Thursday, Friday, Saturday}

This set is , because there are days in a week possible to count.