Question

write the roster form of the set p {x/x=1/y²,y∈w,y<5}

Answer 1

Step-by-step explanation:

Given:-

The set P = {x/x=1/y^2,y∈w,y<5}

To find:-

Write the roster form of the set

P = {x/x=1/y^2,y∈w,y<5}

Solution:-

Given set P = {x/x=1/y^2,y∈w,y<5}

Where y is a whole number and it is less than 5

The possible values of y are 0,1,2,3,4.

Now ,

If y = 0 then 1/y^2 = 1/0^2 = 1/0 = not defined

there is no definite value for y = 0

If y = 1 then 1/y^2 = 1/1^2 = 1/1 = 1

If y = 2 then 1/y^2 = 1/2^2 = 1/4

If y = 3 then 1/y^2 = 1/3^2 = 1/9

If y = 4 then 1/y^2 = 1/4^2 = 1/16

x = 1/y^2 then

The possible values of x = 1,1/4,1/9,1/16

The roster form of P = {1,1/4,1/9,1/16}

Answer:-

The roster form of the set P ={1,1/4,1/9,1/16}

Used formulae:-

• A set is a collection of the well defined objects.
• w represents the set of whole numbers