(ANSWER ACTIVITY 1 AND 2 ) ANSWER ALL

• SHOW SOLUTION IF NECESSARY

ACTIVITY 1: Give the Conditional Statements of the following:

Implication	Converse	Inverse	Contrapositive
If he is truly concerned about the welfare of his country, then he is involved in politics.
	2. If P is even, then it is composite number.
			3. If the angle is not 90o, then the polygon is not a quadrilateral.
		4. If I am not 15 years old, then I'm not a teenager.
5. If it is a dog, then it has four legs.

ACTIVITY 2: Translate the following statement into symbols and vice versa. Apply the appropriate logical connectives.

Proposition:

p = it is raining outside

q = I am wearing my rubber shoes

r = I will bring my umbrella

Statement	Symbols
It is raining outside and I am not wearing my rubber shoes.
2. It is raining outside and I will bring my umbrella or wearing my rubber shoes.
3. I will not bring my umbrella, if it is not raining outside.
4. It is false that it is not raining outside and I am not wearing my rubber shoes.
5. I will bring my umbrella if and only if it is raining outside.
Symbol	Statement
p V r
2. q ^r
3. p(q Vr)
4. (q V r)
5. p(qr)