The contrapositive of the original conditional statement is if it has a positive cube root then the number is positive.
In mathematics, a cube root is [tex]y^3 = x[/tex]
The inverse of a conditional statement is "If a number is negative, then it has a negative cube root.” It means y is negative, so the cube root of negative will result the negative value. For example: [tex](-1)^3 = -1[/tex]
A conditional statement and its inverse are not logically equivalent
In conditional statements, "If p then q" is denoted symbolically by "p q"; p is called the hypothesis and q is called the conclusion. Suppose we give a conditional statement of the form "If p then q", then the inverse is "If ~p then ~q." Symbolically, the inverse of p q is ~p ~q
The original conditional statement is If a number is positive, then it has a positive cube root
What is the contrapositive of the original conditional statement? The contrapositive of a conditional statement of the form "If p then q" is "If ~q then ~p". Then the answer could be if it has a positive cube root then the number is positive.
Learn more about the inverse of function at: brainly.com/question/10250188
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