Chapter 6.2, Problem 10WE

To determine

To complete: the blanks in the given table.

Explanation of Solution

Given information:

The given statement is “If $x^2>1$ , then $x>1$ ”

The table is as follows:

Statement	If $x^2>1$, then $x>1$	False
Contra positive	If not $x>1$, then not $x^2>1$	False
Converse	If $x>1$,then $x^2>1$	True
inverse	If not $x^2>1$,then not $x>1$	true