Question

Read the statement.

Doubling the dimensions of a rectangle increases the area by a factor of 4.

If p represents doubling the dimensions of a rectangle and q represents the area increasing by a factor of 4, which are true? Select two options.

p → q represents the original conditional statement.
~p → ~q represents the inverse of the original conditional statement.
q → p represents the original conditional statement.
~q → ~p represents the converse of the original conditional statement.
p → ~q represents the contrapositive of the original conditional statement.

Answer 1

Correct choices: 1 and 2.

Explanation:
- The original conditional is p → q.
- The inverse of p → q is ~p → ~q.
- The converse is q → p.
- The contrapositive is ~q → ~p.