Hint for Section 2.1 Question 5

5. This is an if--then statement so you should use the symbol implies.jpg (563 bytes). Since the statement applies to all integers, you should use the symbol ".

Let F(x) be the predicate "4 is a factor of x" and let T(x) be the predicate "2 is a factor of x".

The statement can be written symbolically as: " x inred.jpg (890 bytes)Z, F(x) impliesred.jpg (864 bytes) T(x).

Now recall that the negation of "" x in.jpg (595 bytes)D,  if  P(x)  then S(x)'' is $ x inred.jpg (890 bytes)D such that P(x) L ~S(x), and write the negation of the given statement.

Back to Section 2.1
Full solution