a. All nonzero real numbers have reciprocals. b. For all nonzero real numbers $r$, there is a reciprocal for $r$. c. For all nonzero real numbers $r$, there is a real number $s$ such that $s$ is the reciprocal of $r$.
Work Step by Step
This exercise should feel similar to many of the others in this section. If you are struggling, try to ignore the meanings of the statements, and instead, focus only on their forms. The forms of many of the statements in this section are identical: only the properties of the numbers being described are changed.