Question

For the following conditional statement, classify the statement as true or false.

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

Short answer

The conditional statement “If $x>4$, then $x+1>5$” is true.

Step-by-step solution

Step 1. Apply the concept of conditional statement.

Conditional statements are those statements where a hypothesis is followed by a conclusion. It is also called “If-then" statement.

Step 2. Simplify the statement.

Consider the statement $x>4$.

Adding 1 both sides of the statement as follows:

$\begin{array}{c}x>4\\ x+1>4+1\end{array}$

Step 3. Step description.

Simplify the statement as follows:

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

Thus, if $x>4$then $x+1>5$.

Therefore, the conditional statement “if $x>4$then $x+1>5$” is true.