A polygon is regular, or a polygon has a longer side than another side of the polygon. If a polygon is regular, then all the sides of the polygon are congruent. If a polygon has one side that is longer than another side of the polygon, then the polygon’s interior angle has measured greater than one of the polygon’s interior angles. Therefore, either the polygon has congruent sides, or the polygon’s interior angle has a measure greater than one of the polygon’s interior angles.

Q: Consider the conditional statement shown If a parallelogram has four right angles, then it is a…

A: The given statement is "If a parallelogram had four right angles, then it is a square."

Q: Determine the truth values of the following statements. The sides of an equilateral triangle have…

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Q: Which of the following is a CONTRADICTION? Clue: Construct a truth table

A: Contradiction:        "A compound proposition that is always false is called a contradiction."

Q: Use Euler diagram to determine whether the argument is valid or invalid. State the interpretation of…

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Q: (premise) (premise) (premise) (conclusion) q Vr (рла) — s p → r

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Q: Use the given propositions below to find what is asked. Let p and q represent the ff. simple…

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Q: Based on the image attached, given two propositions p and q. Construct the truth table.

A: To find- Based on the image attached, given two propositions p and q. Construct the truth table. ¬p…

Q: 31. If both of the statements below are true, which statement is a logical conclusion? Some…

A: We need to see which one of the following conclusions we can draw from the given statements.  We…

Q: L- Use truth tables to show the stetenant P-> cQ1 R) s equivalet to the ftatemfrt P =Q)^ P R)

A: Given the statement P→(Q∧R)=(P→Q)∧(P→R).We need to prove the above statement using truth table.

Q: What rule of inference is used in this argument? "If I go for a balanced diet, then I will be fit.…

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Q: Construct a truth tabde for the given statement, a. (pvq) ^ ~p b. (~p q) → (~p→q)

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Q: 1. Use an Euler diagram to determine whether the argument is valid or invalid. Some dogs have tails.…

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Q: Use two truth tables to show that each of the statements are equivalent.   [(p ᴧ q) ᴧ r] v [p ᴧ (q…

A: Draw truth tables for the given statements: As per bartleby guidelines for more than one questions…

Q: Which conclusion will make a valid argument? "I am going to study for the examination or am going to…

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Q: Write the following arguments in symbolic form and test their validity. You can use either the…

A: 1) Let, P denotes that two sides of a triangle are equal and Q denotes that opposite angles are…

Q: P-Q -P -Pv Q (P - Q) – (-P v Q)

A: P∨Q is False if and only if both P and Q are False P→Q is False if and only if P is True and Q is…

Q: Using a bond paper, write and construct the truth table

A: In this question, we need to construct the truth table for the given statements. Further, we need to…

Q: s this a valid arguement? (Syllogisms) All  rangers are enviornmentalists All rangers are story…

A: All  rangers are enviornmentalists All rangers are story tellers.  Therefore, all enviornmentalists…

Q: What is the conclusion in the following if-then statement? “If a figure is a triangle, then it has…

A: Please see the answer below.

Q: Use the standard forms of valid and invalid arguments to determine the validity of the arguments.…

A: Since you have posted a question with multiple subparts according to guildlines I will solve first…

Q: Write in symbolic form then determine the validity of an argument using truth table. Show neat and…

A: The statements can be written in symbolic form by assigning variables to it. In symbolic logic the…

Q: Use the Law of Negative Inference to draw a valid conclusion for this argument. 1. If the weather is…

A: Law of Negative Inference P → Q       -Q       C.  ∴ - P

Q: 1. Use a FULL truth table to determine whether the given argument form is valid or invalid. Write a…

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Q: 4. [ (P - Q) A- (Q v R) ]- "P |P-QQVR -(Q V R) (P - Q) A ~(Q V R) [(P- Q) A (Q v R) ]– -P R -P

A: A∨B is False if and only if both A and B are False A∧B is True if and only if both A and B are True…

Q: onstruct a Truth Table A. (p ^q) → p pap ^q→p B. p ^ ( q v r ) Û (p^q) v ( p ^r ) pgrp ^(q v r )ºp ^…

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Q: Use the given statements to write the conditional, converse, and biconditional. Determine the truth…

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Q: Consider statements p and q. p: It is raining. q: Kareem is wearing a coat. (a) Write each statement…

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Q: Construct a truth table for the given statement  p↔~q   Construct a truth table for the statement…

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Q: Identify p and q. • Then use the Law of Detachment and a truth table to determine if the argument is…

A: Proposition : It is a declarative statement which is either true or false.  Argument :  It is a…

Q: Complete the truth table for the given statement by filling in the required columns. TA-S

A: Solution: The given information is

Q: Use truth tables to determine whether the arguments is valid or invalid. a. Either John or Bill is…

A: Given :-  Use truth tables to determine whether the arguments is valid or invalid. (a) Either John…

Q: The statement (PA~ B) = B V Q is false. Find the truth values of P,Q, & B

A: Given that the statement P∧~B⇒B∨Q is false.

Q: Use truth tables to determine whether the following arguements is valid or invalid.  ~p v (q -> r)…

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Q: Statements that have exactly the same truth values in the answer columns of their truth tables are…

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Q: [(pV -q) A(-r^q] V (r^-p)

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Q: Consider His Conditional statement. TE a Square has a perimeter of 16 inches, then the Square has a…

A: If a square has a perimeter of 16 inches, then the square has a side of length 4 inches.

Q: 1. (P»Q)=(P→Q) ^(Q→P) Build the truth table. P P +Q P →Q Q→P (P→Q)^(Q→P) According to the truth…

A: The question is related to logics. The solution is given below.

Q: [(p^~q) v~r] ^ (q^r)

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Q: Often in mathematics, instead of proving a statement of the form p→ q, we will prove its…

A: We will find out the required solution.

Q: his question has two arts. . Complete the truth table for ¬P + (Q A R) . Consider the statement "If…

A: Assume the possible combinations of P,Q and R.

Q: How do I translate this sentence into a symbolic argument? And is this sentence valid or not valid?…

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Q: Which statement is the converse of the conditional statement? If MN is a diameter of circle C, then…

A: We have to find the converse statement

Q: Construct a truth table for the given statement. ~q^q fill in the truth table q  ~q   ~q^q t f

A: The logic is only constructed on the statement q. ~q means the negetion operator on q. ^ means The…

Q: Vhich of the following is an example of inductive reasoning? DA. If a number is divisible only by 1…

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Q: please draw truth table and explain the answer for (c)

A: To find- Say whether the following are correct. If yes, provide a natural deduction proof. If not,…

Q: Use Eular diagram to determine whether the argument is valid or invalid. State the interpretation of…

A: Argument Some women are mothers. All mothers love children. Therefore, some women love children

Q: Determine if the following are TRUE or FALSE:   A quadrilateral is a rectangle if and only the…

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Q: Write in symbolic form then determine the validity of an argument using truth table.  A polygon is…

A: Let take: Regular polygon = p Polygon having side longer than another side = q All sides are…

Q: Select the correct choice that completes the sentence below. To determine the validity of an…

A: An argument  is a sequence of statements . All statements in an argument, except the final one, are…

Q: I. Construct the converse, inverse and contrapositive of the conditional statement, and identify…

A: As two Questions are given , I will solve only one: Given statement is : If a quadrilateral is a…

Logic and Proofs

Discrete mathematics deals with the separated values of data such as integers. It is widely used in the practical field of computer science and mathematics. By knowing discrete mathematics one can improve their reasoning and problem-solving capabilities. Discrete mathematics became popular after the boom of computers which operate in discrete steps and store data in discrete bits. It also useful in studying computer programming, algorithms, and cryptography.