To test the validity of the argument, we can construct a truth table:
Consider the following propositions:
A: "You are on the student council."
B: "You maintain at least a B average."
The argument can be represented as:
If A, then B.
Not A.
Therefore, not B.
Based on this representation, we can construct the truth table:
| A | B | If A, then B | Not A | Therefore, not B |
---------------------------------------------------
| T | T | T | F | F |
| T | F | F | F | T |
| F | T | T | T | F |
| F | F | T | T | T |
We can see that there is at least one row where both premises are true (top row), but the conclusion is false. Therefore, the argument is invalid.
use a truth table to test the validity of the following argument if you are on the student council then you must maintain at least a B average you are not on the student council therefore you do not maintain a B average
1. valid
2. invalid
1 answer