Question

plzzzzzzzzzzzzzzzz zzzzzzzzzzzzzz​

Answer 1

Answer:

Step-by-step explanation:

Given, P = {x | x ∈ N and x² < 30}

Then, P = {1, 2, 3, 4, 5}

Therefore, cardinal number of set P = 5, i.e., n(P) = 5

Given, Q = {x | x is a factor of 20}

Then, Q = {1, 2, 4, 5, 10, 20}

Therefore, cardinal number of set Q = 6, i.e., n(Q) = 6

1) n(Q) - n(P) = 6 -5 = 1.

2) n(Q²) - n(P²) = 36 - 25 = 11

3) n(P) * n(Q)/n(Q² ( = 5 * 6 /36 = 5/6.

4) n(P²) / n(Q²) - n(P²) = (5)²/ (6)² - (5)²

    = 25/36-25 = 25/11 = R.H.S. hence proved