THe directions say< indicate which fo the following statements are true and which are false, Justify your answers as best you can. Here is the question: [tex] \exists [/tex] x [tex]\in[/tex] R such that [tex]\forall[/tex] [tex]\in[/tex] R, x = y + 1. I wrote the following: There exists a real number x such that given any real number y the property x=y+1 will be true. True. y = x-1. Then y is a real number, and y + 1 = (x-1)+1 = x. I really don't know if i did this right or not but there was an example but slighty different and the book had the following: [tex]\forall[/tex] x [tex]\in[/tex] Z, [tex]\exists[/tex] y [tex]\in[/tex] Z such that x = y + 1. There answer was: Given any integer, there is an integer such that tthe first inteer is one more than the second integer. this is true. Given any integer x, take y = x-1. Then y is an integer, and y + 1 = (x-1) + 1 = x. I'm really confused on how to go about tackling these problems. Any help would be great! thanks!