Which of the following statement is the contrapositive of (1)
."If I don't have money, then I don't spend it".
(2)"If I spend money,then I have it"
(3)If I don't spend money, then I don't have it."
To find the contrapositive statement of a conditional statement, we need to switch the hypothesis and conclusion of the original statement and negate both of them.
The original statement "If I don't have money, then I don't spend it" can be represented as:
Hypothesis: I don't have money
Conclusion: I don't spend it
To find the contrapositive statement, we switch the hypothesis and conclusion and negate both:
Contrapositive Hypothesis: I spend money
Contrapositive Conclusion: I have it
Now let's examine the three options:
(1) "If I spend money, then I have it" - This is not the contrapositive because it does not switch and negate the hypothesis and conclusion.
(2) "If I don't spend money, then I don't have it" - This is the original statement itself, not the contrapositive.
(3) "If I have it, then I don't spend money" - This is the contrapositive statement. It switches the hypothesis and conclusion and negates both of them.
Therefore, the correct answer is (3) "If I have it, then I don't spend money" as it is the contrapositive of the given statement.