Chapter 6.1, Problem 4CE

To determine

To verify the conditional “If $x+1>5$ , then $x>4$ .” is true or false.

Answer to Problem 4CE

True.

Explanation of Solution

Given:

If $x+1>5$ , then $x>4$

Calculation:

Consider $x+1>5$

Subtracting 1 on both sides, we get

  $\begin{array}{l}x+1-1>5-1\\ \Rightarrow x>4\end{array}$

Therefore, if $x+1>5$ , then $x>4$

Hence the given conditional is true.