SOLUTION: I'm not sure if I choose the right type I am sorry if it is not. 27 people applied for a certain managerial job. According to one report, the first interview narrowed the field do

Question 119143: I'm not sure if I choose the right type I am sorry if it is not.
27 people applied for a certain managerial job. According to one report, the first interview narrowed the field down to fewer than 7 candidates.Another report claimed that the first interview eliminated fewer than 23 applicants from consideration. If both reports are true, and if x applicants were eliminated by the first interview, what are the possible values of x?
a)21 only
b)22 only
c)20 and 21 only
d)21 and 22 only
e)21,22, and 23 only
I don't know what type of math to use to solve this problem. Thank you very much for your help, it is greatly appreciated.
Answer by Fombitz(13823) (Show Source):
You can put this solution on YOUR website!
First report
"the first interview narrowed the field down to fewer than 7 candidates".
We'll interpret that to mean exactly 6 or fewer candidates remain.
Since the total number of candidates is 27,
then the number of candidates eliminated was 21 or greater.

Second report
"eliminated fewer than 23 applicants from consideration"
We'll interpret this to mean exactly 22 or fewer were eliminated.

If both are true, then

So both 21 and 22 meet the criteria.
d)21 and 22 only