11-03-2010, 10:17 PM
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.
© Write matrix representation of the given relation R on set A
Solution will be updated soon.
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.
© Write matrix representation of the given relation R on set A
Solution will be updated soon.
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