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? Check all that apply.

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

True, True , False , False , False

Explanation:

Let us see the correction for the rest of the three False Statements

3) p→q represent the original conditional statement.

4) ~q → ~p represents the contrapositive of the original conditional statement

5) contrapositive of the original conditional statement will be ~q → ~p

There is one more implication called Converse of the original conditional statement . It is represented as q→p