Chapter SR26, Problem 6P

Solution

State whether the conclusion is valid or invalid. If the conclusion is valid, name the type of logical argument used.

Invalid.

Given:

If x=0, then y=4. If y=4, then z=7. Therefore, if z=7, then x=0.

Concept Used:

• A logical argument has two given statements, called premises, and a statement, called a conclusion, that follows from the premises.

Calculation:

The given statement is −

If x=0, then y=4. If y=4, then z=7. Therefore, if z=7, then x=0.

The conclusion is invalid.