Part 1 Problem 1. Determine which of the following sentences are statements. For

Question

Part 1 Problem 1. Determine which of the following sentences are statements. For the ones that are statements, determine (without proof) whether they are true or false. (a) Is 57? b) Show that v2 is not an integer. (c) V2 is an integer (d) If 5 is even then 6 = 7. Problem 2. Write the truth table for the following statement. (Notice the table required will have 8 rows as it involves 3 propositions P, Q, R.) Problem 3. Negate the following English proposition Some cars are comfortable and not expensive.

Explanation / Answer

I am solving the problem 1 with all sub-parts as per Chegg guidelines, post multiple question to get the remaining answers

1

a) Is 5<7 - (Open sentence, since the possible answers can be false/true) - answer = FALSE

b) Show that sqrt(2) is an integer - (statement - Answer = TRUE)

c) Sqrt(2) is an integer - (statement) - (Answer- False)

d) If 5 is even then 6=7 (open sentence), (final answer = False)

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