Conditional Statements and Equivalence Answers

The contrapositive of a conditional statement is "If an item is not worth five dimes, then it is not worth two quarters.”What is the converse of the original statement?

If an original conditional statement is represented by p → q, which represents the contrapositive?

Given the original statement "If a number is negative, the additive inverse is positive,” which are true? Select three options.If p = a number is negative and q = the additive inverse is positive, the original statement is p → q.If p = a number is negative and q = the additive inverse is positive, the inverse of the original statement is ~p → ~q.If p = a number is negative and q = the additive inverse is positive, the converse of the original statement is ~q → ~p.If q = a number is negative and p = the additive inverse is positive, the contrapositive of the original statement is ~p → ~q.If q = a number is negative and p = the additive inverse is positive, the converse of the original statement is q → p.

What is the contrapositive of the conditional statement?If two variables are directly proportional, then their graph is a linear function.

Given:p: 2x = 16q: 3x – 4 = 20Which is the converse of p → q?

Given a conditional statement p → q, which statement is logically equivalent?

If p is the hypothesis of a conditional statement and q is the conclusion, which is represented by ?

What is the converse of the conditional statement?If x is even, then x + 1 is odd.

Given the conditional statement ~p → q, which statement is logically equivalent?

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?