Question

1. Write A = {1, 4, 9, 16, 25} in set builder
form.
(a) A = {x:x is a prime number}
(b) A = {x:x is the cube of a natural number}
(c) A = {x:x is the square of a
natural number)
(d) A = {x:x is an even natural
number​

Answer 1

Step-by-step explanation:

a). A = {1}

b). A = {1,16}

c). A = {1,4,9,16,25}

d). A = {4,16}

Answer 2

Answer:

A = {1, 4, 9, 16, 25,...} A = {1², 2², 32, 4², 5²,...}

Here,

1, 2, 3, 4, 5 are all natural numbers and 1, 4, 9, 16, 25 are their squares

Hence, we may write the set A as

A = {x : x is the square of a natural number}

or

A = {x: x= n², where n E N}