101k views
2 votes
Mark this question "True" if the argument is VALID, and "False" if the argument is INVALID: If this number is larger than 6, then its square is larger than 36. The number is not larger than 6. ... Its square is not larger than 36. A. True B. False

1 Answer

6 votes

This argument is no valid although the first part of the statement is valid. If a number is larger than 6 than its square must be larger than 36. But if the number is smaller than 6, its square does not need to be smaller than 36. For example...

(-100)²=10000

-100 is smaller than 6 but its square is bigger.

answer: False

User Avi Meir
by
6.1k points