Knowing that: Conditional Statement p --> q (If p, then q) Converse q --> p (If

Question

Knowing that:

Conditional Statement p --> q (If p, then q)

Converse q --> p (If q, then p)

Inverse ~p --> ~q (If not p, then not q)

Contrapositive ~q --> ~p (If not q, then not p)

Select a problem/statement from the ones listed below that hasn't been discussed and answer the following questions:

1. Write the problem as conditional statement (if is not under this form)

2. Write the converse

3. Write the inverse

4. Write the contrapositive statement

5. Respond to at least two other classmates on their result and make the necessary adjustment for valid statements.

The statements are:

1. If beauty were a minute, then you would be an hour.

2. If you lead, then I will follow.

3. If it ain't broke, don't fix it.

4. If I had a nickel for each time that happened, I will be rich.

5. if you build it, he will come

6. Where is smoke, there is fire

7. If eagles can fly, then eagles are fish

8. If Honk Kong is in China, then Tokyo is in Japan

9. If 7+5=12, then America has a queen

10. When I am hungry, I eat.

Explanation / Answer

1) If beauty were a minute, then you would be an hour.(Conditional Statement )

Ifyou would be an hour, then beauty were a minute.(Converse statement)

  If beauty were not a minute, then you would not be an hour.(Inverse statement)

If you would not be an hour then beauty were not a minute( Contrapositive statement)

2) If you lead, then I will follow.(Conditional Statement )

If I will follow then you lead (Converse statement)

   If you do not lead, then I will not follow.(Inverse statement)

  If I will not follow. then you do not lead, (Contrapositive statement)

3)  If it ain't broke then don't fix it (Conditional Statement )

If don't fix it then it ain't broke (Converse statement)

  If it broke then fix it (Inverse statement)

If fix it then it broke (Contrapositive statement)

4) If I had a nickel for each time that happened then I will be rich.(Conditional Statement )

If I will be rich then I had a nickel for each time that happened (Converse statement)

If I had't a nickel for each time that happened then I will not be rich.(Inverse statement)

If I will not be rich then I had't a nickel for each time that happened.(Contrapositive statement)

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