Question

Find the number of subsets and the number of proper subsets of
X = { x² : x ∈N, x² ≤ 100}.

Answer 1

Hi ,

X = { x² : x € N , x² ≤ 100 }

X = {1 ,4 ,9,16,25,36,49,64,81,100 }

n( X ) = 10

Number of subsets = 2^10

= 1024

Number of proper subsets = 2^10 - 1

= 1024 - 1

= 1023

I hope this helps you.

: )

Answer 2

X = { x² : x € N , x² ≤ 100 }

X = {1 ,4 ,9,16,25,36,49,64,81,100 }

n( X ) = 10

Number of subsets = 2^10

= 1024

Number of proper subsets = 2^10 - 1

= 1024 - 1

= 1023

I hope this helps you.