Answer to Question #322766 in Discrete Mathematics for zain ali shah

Discrete Mathematics

Question #322766

Suppose that a statement of the form ∀xP(x) is false. How can this be proved?

Expert's answer

It means there exists some x that P(x) is false.

Thus it can be proved by finding some x for which P(x) does not hold (counterexample)

Learn more about our help with Assignments: Discrete Math

Comments

No comments. Be the first!

Leave a comment

Related Questions

1. Translate in two ways each of these statements into logical expressions using predicates, quantifier
2. Construct a combinatorial circuit using inverters, OR gates, and AND gates that produces the output(
3. SHOW THAT |A`n B`|=|U|-|A|-|B|+|A n B|
4. Prove that for every positive integer ‘n’ : 1𝑋2𝑋3 + 2𝑋3𝑋4 + ⋯ + 𝑛(𝑛 + 1)(�
5. 2. Determine the truth value of each of these statements if the domain consist of all integers.A. �
6. 1. Let Q(x) denote the statement “x is an integer”. What are the truth values?A. Q(-1)B. Q(0)C.
7. Construct a combinatorial circuit using inverters, OR gates, and AND gates that produces the outpu