Solution for Section 10.2 Question 4

4.  a) For all real numbers x, x is not greater than x, so the relation s is not reflexive.

b) For all real numbers x and y, if  x > y, then y is not greater than x, so the relation s is not symmetric.

c) For all real numbers x, y and z, if  x > y  and  y > z,   then x must be greater than z, so the relation s is transitive.

Back to Section 10.2