Construct a Complete Truth Table for Each of the Following

question 2

Multiple Choice

Construct a complete truth table for each of the following arguments. Then, using the truth table, determine whether the argument is valid or invalid. If the argument is invalid, choose an option which presents a counterexample. (There may be other counterexamples as well.)
-I ⊃ J
∼(J • I) / J ⊃ I

• A) Valid
• B) Invalid. Counterexample when I and J are true
• C) Invalid. Counterexample when I is true and J is false
• D) Invalid. Counterexample when I is false and J is true
• E) Invalid. Counterexample when I and J are false

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Definitions:

Key-Off

The state of an automotive electrical system when the ignition key is turned to the off position, cutting power to the engine and most electrical components.

Sulfation Test

A diagnostic procedure used to determine if a lead-acid battery has developed sulfation, a condition that can reduce the battery's performance and lifespan.

Fast Charge

A charging method for batteries that significantly reduces the time required to reach full capacity, commonly used in electric vehicles.

High Amperage

Refers to the flow of a large amount of electrical current, measured in amperes, through a conductor.