Question

9. (5 points) Please translate this statement into English, where the domain for each variable consists of all real numbers. VrVyz(x = y + 2) 10. (5 points) Please determine the truth value of the staement Bruz Sy) if the domain for the variables consists of the nonzero real numbers. 11. (5 points) Please determine what rules of inference are used in this argument: "No man is an island. Manhattan is an island. Therefore, Manhattan is not a man." 12. (5 points) Please determine whether the following is a valid argument: If r is a positive real number, then x is a positive real number. Therefore, if a' is positive, where a is a real number, then a is a positive real number. 13 S 13. (5 points) Please prove that the product of two odd integers is odd. 14. (5 points) Please prove that m² = nº if and only if m= n or m = -1. 15. (5 points) Please prove or disprove that if a and b are rational numbers, then a is also rational. 16. (5 points) Prove that V2 is irrational. TCT 1 hit 17. (5 points) Please determine whether the statement is true or false. {0} = {{0}} Let A = {a,b,c}, B = {x,y), and C = {0,1}. 18. (5 points) Please find C x B x A. Let H = {2,3,5,7) and let K = {3,7,11). 19. (5 points) Please compute: HUK. 20. (5 points) Please find the symmetric difference of {1,3,5) and (1,2,3).

Answer 1

g. Given that consists of #xty 32 (x=y+2) - D Where the domain for each variable all real numbers. English statement of statement for every real number a and there exist a real number z such to the sum of y and Z." le for ® is :- real number y, that x is equal