Answer:
- 4xy / (x+y) (x-y)
Step-by-step explanation:
The hourly rate of $7.59 per hour multiplied by hours gives the gross wages earned. If 10% are taken for taxes then 90% are take home wages.
(0.9)*(8 hr/day) * (7.59 $/hr ) = 54.65 $/day take home pay
a. The events are mutually exclusive, so

b. For the same reason,

Another way to see this is to use the result from part (a), and the inclusion/exclusion principle:

and the right side reduces to 0.
c. Same as (b),

d. Same as (b),

We can also use the distributivity rule for unions and intersections to write

e. If the
is the complement of
, then by DeMorgan's law,
