a set is described as follows S xExists a y such that y 2 1

Solution

S= {x|Exists a y such that y = {-2, -1, 0, 1, 2} and x=y^2}

Use x = y^2

When y =-2, x = (-2)^2 =4

When y =-1, x = (-1)^2 =1

When y =0, x = (0)^2 =0

When y =-1, x = (-1)^2 =1

When y =-2, x = (-2)^2 =4

S ={(x,y) , (-2, 4), (-1, 1), (0, 0), (1, 1), (2, 4)}