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.

1)p → q represents the original conditional statement.

2)~p → ~q represents the inverse of the original conditional statement.

3)q → p represents the original conditional statement.

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

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

Answer 1

1) and 2)

Explanation:

Let us see the correction in the rest of the 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