SOLUTION: Let A be the set of even numbers on a twelve-sided dice and B the set of numbers greater than 4 on a twelve-sided dice. Which statement is NOT true? N(B) = 8 N (A U B) =

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Question 1203650: Let A be the set of even numbers on a twelve-sided dice
and B the set of numbers greater than 4 on a twelve-sided dice.
Which statement is NOT true?

N(B) = 8
N (A U B) = 10
N (A n B) = 2
N(A) = 6

Found 2 solutions by math_tutor2020, ikleyn:
Answer by math_tutor2020(3821)   (Show Source): You can put this solution on YOUR website!

Hints
A = {2,4,6,8,10,12}
B = {5,6,7,8,9,10,11,12}
Notation like n(A) means "the number of values in set A".

is the intersection of sets A and B
It's the set of elements found in both sets
For example, if A = {p,q,r} and B = {r,s,t,p} then

Answer by ikleyn(52949)   (Show Source): You can put this solution on YOUR website!
.
Let A be the set of even numbers on a twelve-sided dice
and B the set of numbers greater than 4 on a twelve-sided dice.
Which statement is NOT true?

(a) N(B) = 8
(b) N (A U B) = 10
(c) N (A n B) = 2
(d) N(A) = 6
~~~~~~~~~~~~~~~~~~~~~~

To answer the problem's question, you should check every option.


(a)  To check if (a) is TRUE, calculate the number of elements in set B.


(b)  To check if (b) is TRUE, calculate the number of elements in set (A U B).


(c)  To check if (c) is TRUE, calculate the number of elements in set (A n B).


(d)  To check if (d) is TRUE, calculate the number of elements in set A.


Each of listed exercises is extremely simple. Use your fingers as your helpers.

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