Question

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

Answer 1

Answer:

A={x:x is a perfect square,x<50,x∈N}

∴A={1,4,9,16,25,36,49}

B={x:x=8m+1, where m∈W,x<50,x∈N}

∴B={1,9,17,25,33,41,49}

Therefore,

A∩B={1,9.25,49}