Chapter 6.1, Problem 3CE

To determine

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

Answer to Problem 3CE

True.

Explanation of Solution

Given:

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

Calculation:

Consider $x>4$

Adding 1 on both sides, we get

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

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

Hence the given conditional is true.