Need Discrete math problems help -- 2
Budget: ₹1,500 – ₹12,500 INR
For each of the following propositions, either i. use a case-based proof to demonstrate
that the proposition holds true or ii. Use a counterexample to demonstrate the proposition
does not hold. (Hint: we covered something similar to this in the notes)
(a) Assume x is an integer that is not divisible by 3, and y is an integer that is not divisible
by 3. Then the sum of x and y cannot be divisible by 3.
(b) Assume x is an integer that is not divisible by 3, and y is an integer that is divisible by 3.
Then the sum of x and y cannot be divisible by 3.
that the proposition holds true or ii. Use a counterexample to demonstrate the proposition
does not hold. (Hint: we covered something similar to this in the notes)
(a) Assume x is an integer that is not divisible by 3, and y is an integer that is not divisible
by 3. Then the sum of x and y cannot be divisible by 3.
(b) Assume x is an integer that is not divisible by 3, and y is an integer that is divisible by 3.
Then the sum of x and y cannot be divisible by 3.