SOLUTION: Logic: Set and operations - Cardinal numbers and surveys A nurse conducted a survey with 75 patients admitted to the hospital. Let B = the set of patients with high blood pressure

Question 1164084: Logic: Set and operations - Cardinal numbers and surveys
A nurse conducted a survey with 75 patients admitted to the hospital. Let B = the set of patients with high blood pressure, C = the set of patients with high cholesterol level, F = the set of patients who smoke cigarettes. The information from the nurse is as follows: n(B)=47; n(B∩S)=33; n(C)=46; n(B∩C)=31; n(S)=52; n(B∩C∩S)=21; n[(B∩C)∪(B∩S)∪(C∩S)]=51.
Find the number of patients who
(a) they had high blood pressure or high cholesterol, but not both.
(b) had fewer than two of the conditions listed.
(c) they were smokers, but did not have high blood pressure or high cholesterol.
(d) did not present exactly two of the conditions on the list.
Answer by ikleyn(52781) (Show Source): You can put this solution on YOUR website!
.
Logic: Set and operations - Cardinal numbers and surveys
A nurse conducted a survey with 75 patients admitted to the hospital.
Let B = the set of patients with high blood pressure,
C = the set of patients with high cholesterol level,
F = the set of patients who smoke cigarettes.
The information from the nurse is as follows:
n(B)=47; n(B∩S)=33; n(C)=46; n(B∩C)=31; n(S)=52; n(B∩C∩S)=21;
n[(B∩C)∪(B∩S)∪(C∩S)]=51.

Find the number of patients who
(a) they had high blood pressure or high cholesterol, but not both.
(b) had fewer than two of the conditions listed.
(c) they were smokers, but did not have high blood pressure or high cholesterol.
(d) did not present exactly two of the conditions on the list.
~~~~~~~~~~~~~

Sorry, in this post I see some ILLOGICAL parts.

The set named/called by the symbol " S " is NOT DEFINED in the condition, but does present and is treated as if it is defined.

Please check with your source TWICE and THRICE.

Then re-check and cross-check.

When you will find your error, fix it and re-post to the forum.

Please do not re-post it to me personally.

RELATED QUESTIONS
Logic: Set and operations - Cardinal numbers and surveys A nurse conducted a survey... (answered by Edwin McCravy)

Logic: Set and operations - Cardinal numbers and surveys A student conducted a survey... (answered by Edwin McCravy,ikleyn)

Logic: Set and operations - Cardinal numbers and surveys A director of Financial Aid... (answered by Boreal)

Hospital Records show that 12% of all patients are admitted for surgical treatment, 16%... (answered by Theo)

records show that 12% of all patients admitted to a medical clinic fail to pay their... (answered by stanbon)

In 2009, Beaver Hospital admitted 14,800 patients. In 2010, a 20% increase in admissions (answered by solver91311)

Determine whether each set equipped with the given operations is a vector space. For... (answered by robertb)

Use the sample data and confidence level given below to complete part (a). In a... (answered by Boreal)

Let's say a store is dependent on positive surveys so their employees can receive a... (answered by solver91311)