Question

Help with confusing equation!!!
Conditional statement: If today is Thursday, then tomorrow is Wednesday.

1. If tomorrow is Wednesday, then today is Thursday.
2. If Today is not Thursday, then tomorrow is not Wednesday.
3. If tomorrow is not Wednesday, then today is not Thursday.

match statements with the following

Inverse ___

Contrapositive ____

Converse ______

Answer 1

Answer:

Inverse ----- 2.  If Today is not Thursday, then tomorrow is not Wednesday.

Contrapositive --- 3.  If tomorrow is not Wednesday, then today is not Thursday.

Converse ---   1.  If tomorrow is Wednesday, then today is Thursday.

Step-by-step explanation:

We know that for a conditional statement of the type:

                If p then q

Then the rule for each of the statements is given by:

The inverse statement is given by:

       if not p then not q.

The Contrapositive statement is given by:

             if not q then not p  

and the converse statement is given by:

                 if q then p

Answer 2

The inverse, contrapositive and converse forms of the conditional statement, If today is Thursday, then tomorrow is Wednesday are;

• Inverse: If Today is not Thursday, then tomorrow is not Wednesday.

• Contrapositive: If tomorrow is not Wednesday, then today is not Thursday.

• Converse: If tomorrow is Wednesday, then today is Thursday.

Conditional statements

A conditional statement usually takes the form;

• If x, then y

By convention, the rule for each of the statements forms is as follows;

The inverse statement usually takes the form:

• If not x, then not y.

The Contrapositive statement usually takes the form:

• If not x, then not y

The converse statement usually take the form;

• If x, then y

Ultimately, the answers are as supplied above.

Read more on conditional statements;

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