At a community​ college, a survey was taken to determine where students study on campus. Of the 250 students​ surveyed, it was determined that 165 studied in the library. 134 studied in the cafeteria. 75 studied in both the library and the cafeteria. Complete parts ​a) through ​c). ​a) Of those students​ surveyed, how many studied only in the​ library?

answer: it is a.,b.,d.

step-by-step explanation:

b) yes

step-by-step explanation:

let the statements be named as,

statement 1: if the power has been cut, then the refrigerator does not work.

statement 2: the refrigerator does not work.

conclusion: the power has been cut

now, 'law of detachment states that if we have the statements given as,

1. if p, then q.

2. p

then, we get the true statement or conclusion as q'.

thus, on comparing, we get that,

p: if the power has been cut.

q: the refrigerator does not work.

so, the argument is true by the law of detachment.