Question

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

If $y>18$, then $y>20$.

Short answer

The conditional statement “If $y>18$, then $y>20$” 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 $y>18$.

Consider $y=19$.

Compare the value of y with the statement.

$19>18$

Step 3. Step description.

Since $19>18$but 19 is not greater than 20.

Thus, the statement is false.

Therefore, the conditional statement “if $y>18$then $y>20$” is false.