Question

The inverse of a conditional statement is "If a number is negative, then it has a negative cube root.” What is the contrapositive of the original conditional statement?

Answer 1

The contrapositive of a conditional statement is formed by negating the antecedent and the consequent and then switching their positions.

Step-by-step explanation:

The contrapositive of the original conditional statement "If a number is negative, then it has a negative cube root" is "If a number does not have a negative cube root, then it is not negative." The contrapositive is formed by negating the antecedent (the first part of the statement) and the consequent (the second part of the statement) and then switching their positions.

In this case, the negation of "a number is negative" is "a number is not negative" and the negation of "it has a negative cube root" is "it does not have a negative cube root." So the contrapositive statement becomes "If a number does not have a negative cube root, then it is not negative."