Mth001 Assignment

MTH001 - Elementary Mathematics first assignment fall 2010

MTH001 - Elementary Mathematics first assignment Solution November fall 2010
Using a truth table determine whether the following argument is VALID or INVALID:

If you practice a lot, then you get very good marks in Mathematics.
You did not practice a lot.
Therefore, you did not get very good marks.

Also formulate the above arguments symbolically and mention critical row (or rows) in the truth table.

Question2)
a)
For the conditional:
"If a>3 then a>0". Determine the truthness of its converse.
b)
Justify the truthness of the biconditional: a> 0<=>a^2 > 0.

Question3)
Let A = {1, 2, 3, 4} and R = {(1, 1), (1, 2), (1, 4), (2, 1), (2, 2), (3, 3), (4, 1), (4, 4)}
be a binary relation on A. Then
(a) Decide whether the given relation R is reflexive, irreflexive, symmetric, and/or transitive. Justify with reasons.
(b) Draw the directed graph of R.
(c) Write matrix representation of the given relation R on set A