Let the universe for both variables x and y be the set {1, 2, 3, 4, 5, 6}. Let p(x,y) = "x divides the sum x + y". Give the truth value of the indicated statement; explain your answer, and give a counterexample in case the statement is false.?y ?x p(x, y)
What will be an ideal response?
False; for any y we choose there is a counterexample:
choose y = 1, x = 2, 2 does not divide 3.
choose y = 2, x = 3, 3 does not divide 5.
choose y = 3, x = 2, 2 does not divide 5.
choose y = 4, x = 5, 5 does not divide 9.
choose y = 5, x = 2, 2 does not divide 7.
choose y = 6, x =4, 4 does not divide 10.
Therefore, there does not exist a y, which for all x satisfies p(x).
You might also like to view...
Rewrite without rational exponents, and simplify, if possible.(x4y4)1/7
A. 
B. 
C. x28y28
D. 
Solve the problem.A car company sold 4020 cars over the last 5 years. Round the number of cars to the nearest hundred.
A. 4100 B. 3900 C. 4000 D. 4010
Multiply or divide as indicated.
? 
A. 
B. 
C. 
D. 
Solve the problem.Larry has $2900 to invest and needs $3300 in 19 years. What annual rate of return will he need to get in order to accomplish his goal? (Round your answer to two decimals.)
A. 2.28% B. 1.28% C. 3.28% D. 0.68%