SOLUTION: is set A has 3 elements and set B has 4 elements: a. what is the greatest number of elements that A U B can have?explain b. what is the least number of elements the A U B ca

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: is set A has 3 elements and set B has 4 elements: a. what is the greatest number of elements that A U B can have?explain b. what is the least number of elements the A U B ca      Log On


   



Question 252266: is set A has 3 elements and set B has 4 elements:
a. what is the greatest number of elements that A U B can have?explain

b. what is the least number of elements the A U B can have? explain

c. what is the greatest number of elements the A n B can have ? explain

d. what is the least number of elements the A n B can have? explain
p.s the (n) is suppose to be an upside down U

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
is set A has 3 elements and set B has 4 elements:
a. what is the greatest number of elements that A U B can have?explain
If A and B are disjoint AUB has 7 elements.
--------------------------------------------
b. what is the least number of elements the A U B can have? explain
If 3 of the elements are in both A and B AUB has 4 elements.
--------------------------------------------
c. what is the greatest number of elements the A n B can have ? explain
If A is a subset of B A and B has 3 elements
--------------------------------------------
d. what is the least number of elements the A n B can have? explain
p.s the (n) is suppose to be an upside down U
If A and B are disjoint then AandB has zero elements.
--------------------------------------------
Cheers,
Stan H.