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

If y>18, then y>20.

Short Answer

Expert verified

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

Step by step solution

01

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.

02

Step 2. Simplify the statement.

Consider the statement y>18.

Consider y=19.

Compare the value of y with the statement.

19>18

03

Step 3. Step description.

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

Thus, the statement is false.

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

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