Section 1.5 Quantifiers

You must use a counter example to prove that a statement is false.
For example, "All numbers are even numbers."
The counter example can be that 5 is odd, not even.

Let p(n) be "n divides 77".
Write propositions below in words and tell whether it is true or false.
Assume that n is a positive integer.

1. p(11)
2. 

Let p(x) be "x ≥ x2".
Tell whether each proposition below is true or false.
Assume that x is a real number which includes a decimal number.

Let P(x) denote "x is a professional athlete."
Let Q(x) denote "x plays soccer."
The domain of discourse is the set of all people.
Write each proposition below in words.
Determine the truth value of each statement.

5. 
6. 
7. 
8. 
9. Write negation for
10. Write negation for