Use the following information:

u = {x | x is a natural number less than 20}

a = {x | x is an odd natural number less than 16}

b = {x | x is a prime number greater than 5}

(note: the prime numbers less than 20 are 2, 3, 5, 7, 11, 13, 17, and 19.) find the cardinality of each set.



n (a'∪ b)

Step-by-step explanation:

For these sets, it is easy enough to list the elements and count them.

U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20}

n(U) = 20

A = {1, 3, 5, 7, 9, 11, 13, 15}

n(A) = 8

B = {7, 11, 13, 17, 19}

n(B) = 5

A'∪B = {2, 4, 6, 7, 8, 10, 11, 12, 13, 14, 16, 17, 18, 19, 20}

n(A'∪B) = 15

to find the perimeter of the rectangle this is the expression:

x-9+x-9+3x-4+3x-4=138

if we simplify it:

8x-26=138

remember, 138 is what it all adds up to

the length is 11.5cm

the width is 57.5cm

the area is 661.25cm^2

the answers might not be correct use at own risk