Question

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

Short answer

The conditional statement “If , then ” is false.

Step-by-step solution

Step 1. Apply the concept of a conditional statement.

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

Step 2.Simplify the statement.

Consider the statement.

Divide both sides of the statement by 3 as follows:

Step 3.Step description.

Simplify the statement as follows:

Since thus, the statement is false.

Therefore, the conditional statement “if-then ” is false.