Question

if 7 < 5, then 5 < 3 state the inverse, contrapositive, and converse of each conditional statement. then indicate whether the inverse, contrapositive, and converse are true.

Answer 1

The given conditional statement is : If 7<5, then 5<3.

Inverse: If 7≥5 then 5≥3 (The inverse is true)

Contrapositive: if 5≥3 then 7≥5 (The contrapositive is true)

Converse: if 5<3 then 7<5 (The converse is true)

From the properties of conditional statement we know that:

if p→q then

• inverse is : $\backsim p \rightarrow \backsim q$

• contrapositive:$\backsim q \rightarrow \backsim p$

• Converse:$q \rightarrow p$

Let us elaborate on the above conditions. Let us take two statement p and q  such that If p happens then q also happens.

• The inverse of a conditional statement is given as "if not p then not q"the converse is given as "if q then p"The contrapositive of the statement states "if not q then not p"

• The following statements can be used for converting the conditional statements to its inverse, converse or contrapositive.

To learn more about conditional statements:

brainly.com/question/7066208

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