Question

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

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

Short answer

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

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 $y>20$.

Consider $y=22$.

Compare the value of y with the statement.

As $22>20$also$22>18$

Step 3. Step description.

Since $22>20$and $22>18$thus, the statement is true.

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