MTH-202 1st Assignment

Question 1;
Assume that for the truth values
P=F, q=T, r=F

Show that the propositionis false.
TRUTH TABLE FOR
p q r p
p q
(p r)
( p q)
( p r)
( p q)
( p r)

T T T F T T F F F
T T F F T F F T F
T F T F T T F F F
T F F F T F F T F
F T T T T T F F F
F T F T T T F F F
F F T T F T T F F
F F F T F T T F F

Hence the preposition (p q) ( p r) is false.


Question 2; Formulate the arguments symbolically and test its validity using truth table.

If you invest in the auto industry, then you get rich.
You didn't invest in the auto industry.
Therefore, you didn't get rich.

Where p = "You invest in the auto industry.
"q = "You get rich."

TRUTH TABE
Premises conclusion

p q p q
p
q

T T T F F
T F F F T
F T T T F
F F T T T

Hence the argument is invalid becacause the premises in row 3rd true but conclusion false.



Question 3;

Illustrate the distributive law A(BC)= (AB)(AC) with Venn diagrams.
A(BC)

A(BC) is shaded

(AB)(AC)
(AB)(AC) is shaded

Hence A(BC)= (AB)(AC)