MTH001 - Elementary Mathematics first assignment fall 2010

[Xpert]

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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


Solution will be updated soon.

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[schahzaad]

Still waiting for Solution...

[Xpert]

dear its new one it will take some time. if anyone have the solution he/she can share.

[princeusman009]

hey m still waiting 4 solution... & tomarrow is last date..

[schahzaad]

kindly someone upload the Solutions coz today is last day....

[schahzaad]

Answer for question number 1

Answer: solution: Let,
p= you practice a lot
g=you get very good marks
Premise1: If you practice a lot, then you get very good marks in mathematics.
p→g
Premise2: You did not practice a lot,
~p
Conclusion: you din not get very good marks.
~g
Premises conclusion
p g p→g ~p ~g
T T T F F
T F F F T
F T T T F
F F T T T




← Critical row


This argument is invalid because

[schahzaad]

Lagta hai sary k sary nalaiq hain, ab tak mjh sey jo solve hua hai main ney update krdya hai ..

[IQ-test]

good work dear u r genius