A. Direction. Write the characteristics of inductive and deductive reasoning by completing the Venn Diagram. Inductive Deductive B. Direction. Find a counterexample for each of the following statements. Show your solution. Write your answer on the space provided. 1 1. For all integers x, X > - x 2. For all real numbers x, |x + 3| = |x| +3. 3. For all real numbers x, -x< X.

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A: We have to find the equivalent logical expression for the predicates

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Q: Please write the negation of the following statement: Ex e R, x <x

A: We have to write the negation of given statement.

Q: 3. Write the following as symbolic statements. (a) There exists a rational number q such that qr = r…

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Q: Let B = [-1 1 4 -3] Find -4B

A: Solution

Q: 2. Use the laws of logic to simplify (-p A-q) v (p A¬q) as far as possible.

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Q: Complete the truth table for the following, then use it to answer the following questions.

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A: We know a sentence is called preposition if it is true or false but not both!

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Q: e domain for all the variables in the following pre L(x, y): x < y L(4, 4) true or false?

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