Question

State with reason, whether the following sets are empty set or not : i) A = set of x such that all x belongs to I , square of x is not positive. ii) B = set of b such that all b belongs to N , 2b+1 is even.​

Answer 1

Answer:

A and B both are empty sets

Step-by-step explanation:

i) A = set of x such that all x belongs to I , square of x is not positive.

or A=( x: x ∈ I, x² < 0 )

Square of All the integers is 0 or more than 0

and can not be negative

so A= { } Empty set

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(ii) B = set of b such that all b belongs to N , 2b+1 is even

or A +( b:b ∈ N and  2b+1 is even)

N=( 1,2,3,.................)

If b ∈ N

then 2n is always even

and 2n+1 is odd and can not be odd

thus B is an empty set ,B={ }