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Counterexample Practice ( / / )

Give a counterexample that proves that each statement is false.

1. East Side students take the subway to school.

2. All birds can fly.

3. All Americans can vote for the President.

4. If you were born in 1995, then on July 1,2010, you are 15 yearsold.

5. Intersecting circles always touch at two points.

6. Division decreases-a number. For example, 12 + 4 = 3, and 3 isless than 12.

7. If the sum of 2 numbers is negative, then both the numbers arenegative.

8. If x2 is positive, then x is positive.

9. If a number is divisible by 2, then it is divisible by 4.

10. If you have two whole numbers, then their quotient is also a wholenumber. (Remember: a quotient is the answer you get from dividing.)

11. If you have any numbers x and y, then x 0 y -;-y = x.