Question

Which of the following sets is a finite set?

(A) { x:x is an integer and x2 > 0}

(B) A = { x:x is a prime number greater then 10}

(C) {x:x is an integer and x2 = x}

(D) A = {x:x is an integer less than 20}​

Answer 1

Answer:

option B and D are correct.

Answer 2

Option (C) is correct

Step-by-step explanation:

• (A) A = {x : x is an integer and x² > 0}
• = { ± 1, ± 2, ± 3, ± 4, ± 5, ... }
• This is an infinite set.

• (B) A = {x : x is a prime number greater than 10}
• = { 11, 13, 17, 19, 23, 29, 31, ... }
• This is an infinite set.

• (C) A = { x : x is an integer and x² = x }
• = { 0, 1 }
• This is a finite set.

• (D) A = {x : x is an integer less than 20}
• = { 19, 18, 17, 16, 15, 14, 13, ... }
• This is an infinite set.

Answer: option (C) is correct