Question

7. A = {x: x is a perfect square and x < 50,* E N}
B = {x: x = 8m + 1, m is a perfect square,m ew.x < 50, € N)
Show that
n(AUB) - n(ANB) = n(A-B) + n(B - A)​

Answer 1

Answer:

A∩B = {1, 9, 25, 49}

Explanation:

Concept used:

Intersection of two sets A and B is defined as the set of elements common to both A and B and is denoted by A∩B

A = {x: x is a perfect square, x<50, x∈N }

A = {1, 4, 9, 16, 25, 36, 49 }

B = {x: x=8m+1, m∈W, x∈N}

B = {1, 9, 17, 25, 33, 41, 49 }

Then

A∩B = {1, 9, 25, 49}