Question

1.)Use De Morgan’s Laws to negate the following statements:

a.The sky is blue or the grass is not brown.

b.The room is not hot and you are not skinny.

c.Today is not Friday or my dog has fleas.

2.) Create a truth table to determine if the following argument is valid of invalid:

Gwen studies for her test.

Gwen studies for her test or she is late for class.

Gwen doesn’t study for her test.­­­­ (THIS STATEMENT IS UNDERLINED)

Gwen isn’t late for class.

Answer 1

1,.

$(A\cup B)^{c}=A^{c}\cap B^{c}$

$(A\cap B)^{c}=A^{c}\cup B^{c}$

a)The sky is not blue and the grass is brown.

b)The room is hot or You are skinny.

c)Today is Friday and my dog does not have flies.

2. Gwen does not study for her test. This statement is invalid.

As, Gwen is not late for class, she must have studied