Hint for Section 10.2 Question 4

4.Recall that a relation R on a set A is :

• reflexive if, and only if, for all xA, x R x.

• symmetric if, and only if, for all x, yA, if  x R y  then  y R x.

• transitive if, and only if, for all x, y, zA, if  x R y  and  y R z  then  x R z.

a) For all real numbers x, is x > x?

b) For all real numbers x and y,  if  x > y, is y > x?

c) For all real numbers x, y and z, if  x > y and y > z, is x > z?

Back to Section 10.2
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