Determine whether each argument is valid. if the argument is valid, give a proof using the laws of logic. if the argument is invalid, give values for the predicates p and q over the domain {a, b} that demonstrate the argument is invalid. (a) ∃x (p(x) ∧ q(x)) ∴ ∃x q(x) ∧ ∃x p(x) hegg

Brian, chris, and damien took a math test that had 20 questions. the number of questions brian got right is 14 more than the number of questions chris got right. damien correctly answered 2 less than the number of questions chris answered correctly. if brian and damien have the same score, which statement is true?

14 pointslet x be the seats in the small van and y the seats in the large van. how many seats does the large van have? a company uses two vans to transport worker from a free parking lot to the workplace between 7: 00 and 9: 00a. m. one van has 9 more seats than the other. the smaller van makes two trips every morning while the larger one makes only one trip. the two vans can transport 69 people, maximum. how many seats does the larger van have?

Rectangle leg this 11feet and perimeter of 38feet what is the width of the rectangle in feet