Answer with Step-by-step explanation:
We are given that A, B and C are subsets of universal set U.
We have to prove that

Proof:
Let x
Then
and 
When
then
but 
Therefore,
but 
Hence, it is true.
Conversely , Let
but 
Then
and
When
then 
Therefor,
Hence, the statement is true.
Answer:
$1533.60 !
Step-by-step explanation:
$7.10 per hour needs to be times by 24 (to calculate the pay per day) = $170.40 then times that by 9 = $1533.60 (The pay for 9 days which is coincidently the pay per 2 weeks!
Job done! The answer is $1533.60!
[If I am wrong please message me and tell me]
Answer:
C) 
Step-by-step explanation:
Line of best fit (trendline) : a line through a scatter plot of data points that best expresses the relationship between those points.
All the given options for the line of best fit are linear equations.
Therefore, we can add the line of best fit to the graph (see attached), remembering to have roughly the same number of points above and below the line.
Linear equation: 
(where
is the slope and
is the y-intercept)
From inspection of the line of best fit, we can see that the y-intercept (where x = 0) is approximately 8. So this suggests that options C or D are the solution.
We can also see that the slope (gradient) of the line of best fit is approximately -0.5 (as the rate of change (y/x) is -1 unit of y for every +2 units of x).
Therefore, C is the solution, and the closet approximation to the line of best fit is 
Answer:
Step-by-step explanation:
The universal set, U is a set of all vehicles produced by the manufacturer.
U = red, blue and green vehicles(both cars and trucks)
B = all red vehicles produced by the manufacturer(both cars and trucks)
C = red, blue and green trucks
C ' = all elements that are not in C but are in the universal set
C ' = red, blue and green cars
B intersection C ' = all elements that are common to set B and set C '. Therefore,
B intersection C ' = red cars