Chapter 0.1, Problem 3E

Rewrite each of the following statements so that it is clear that each is an implication.

The reciprocal of a positive number is positive.

The product of rational numbers is rational.

A differentiable function is continuous.

The sum of the degrees of the vertices in agraph is an even number.

A non-zero matrix is invertible.

The diagonals of a parallelogram bisect each other.

All even integers are negative.

Two orthogonal vectors have dot product 0.

$\frac{n}{n+1}$ is not an integer for any integer $n$.

$n+3>2$ for every natural number $n$.