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# DeMorgan Law and converse statements

Write the negation of the conditional statement.

1. If I am in Seoul, then I am in Korea.

2. Write the nonequivalent converse and inverse of the statement.

If you are getting a haircut , then you are not studying

3. Use the De Morgan law that states :
~( p ^ q) is equivalent to ~p v ~q

4. to write an equivalent English statement for the statement .

It is not the case that a piano and a tattoo are both musical instruments.

5. Use De Morgan's laws to write a negation of the statement

She is not older than 21 and he is older than 21.

6.Use a truth table to determine whether the symbolic form of the argument is valid or invalid .

q arrow p
p arrow r
___________
.
. .r arrow q

note ( that q and the arrow is going to the p, p and the arrow is going to the r, over the three dots r and the arrow is going to the q.

#### Solution Preview

Write the negation of the conditional statement.

1. If I am in Seoul, then I am in Korea.

If I am not in Korea, then I am not in Seoul.

2. Write the nonequivalent converse and inverse of the statement.

If you are getting a haircut , then you are not studying (p => q)

converse: If you are not ...

#### Solution Summary

The expert examines DeMorgan Law and converse statements. Nonequivalent converse and inverse statements are provided.

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