When would the following conditional be false?
If you work 20 hours a week, then you make $125.00.
(1 point)
The given conditional statement is an "if-then" statement, which can also be considered an implication in logic. The statement "If you work 20 hours a week, then you make $125.00" can be symbolically represented as P ⇒ Q, where P is "you work 20 hours a week" and Q is "you make $125.00".
This conditional statement would be false if the antecedent (P: you work 20 hours a week) is true, but the consequent (Q: you make $125.00) is false. In other words, the statement would be false if you indeed worked 20 hours a week but did not make $125.00.
So, to answer the question, the conditional would be false if:
1. You work 20 hours a week (antecedent is true), AND
2. You do not make $125.00 (consequent is false).
In all other cases (if you do not work 20 hours a week, or if you do work 20 hours a week and make $125.00), the conditional statement could be considered true, following the standard logic rules for material implication.