Describe each of the following sets a x x N and qq23and x

Describe each of the following sets.

a. {x | x N and ( q)(q{2,3}and x = 2q)

b. {x | x N and (y)( z)( y {0,1}and z {3,4}and y < x < z)}

c. {x | x N and (y)( y even x y)}

Solution

a) value of x belongs to natural number set and there exists q such that q belongs to set containing 2 ,3 and x equals to 2 times q.

b) value of x belongs to natural number set and there exits y and z such that they belong to set containg 0, 1 and 3, 4 respectively and x lies in between y and z

c) value of x belongs to natural number set and there exits y such that y is even and x not equals to y