Statement Justification Negation =(paq)v(-pat) laws =(paq)v~p i. =(pv-p)^(qv-p) i. =ta(qv-p) ii.

Q: Hertz runs a sale or both Avis buys new cars and Budget lowers rates. [H, A, B] A HVA•B B) (H• (A v…

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

Q: Required information NOTE: This is a multi-part question. Once an answer is submitted, you will be…

A: We have to identified the statment is true or false  With the help of possibilities we find the…

Q: Explain the purpose of statements and reasons in a formal proof. Once you've done that, give me a…

A:

Q: 13. If given a pair of perpendicular lines, what idea followa? a. Congruent segments b. Linear pair…

A:

Q: Using propositions aided by two-column proof, show that AAB = AUB. (Just choose one direction to…

A: By two-column proof we will be showing that A∆B=A∪B. We know that A∆B=A∪B-A∩B.

Q: The following 4 arguments are valid. Provide a proof of validity for each argument. You can use the…

A: Since you have posted a multiple question according to guildlines I will solve first (Q22)question…

Q: For the three-part question that follows, provide your answer to each part in the given workspace.…

A: In the given statement, the variables are the actions that Winston can perform and the number of…

Q: De terminé if V and logically equivalent are not or

A:

Q: What is the argument of 2 3-j ? none of the choices 7. 12

A:

Q: Identify the contradiction.  If I sing a song today, then I will sing a song today.  I will sing a…

A: First, let's understand the statements given. There are four statements:If I sing a song today, then…

Q: (pr) ^ (qp)

A: See next step for truth table

Q: What type of compound proposition does the following table represent? A B Output T F

A: Any two statements can be connected by the word ''and '' to form a compound statement . Rules : The…

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

A:

Q: 3. Let B=(2,4,6,8,10), C=(4,8, 10), and D= (xxis even). Answer the following questions. Explain (a)…

A: Disclaimer: “Since you have asked multiple questions, we will solve the first question for you. If…

Q: How do we identify if a hypothetical argument is valid or not?

A: Hypothetical argument includes conditional statements like if-then statement  along with possible…

Q: Given: 5(x + 2) = -3x - 6 Prove: x = -2

A: 7

Q: Translate the argument into symbolic and then determine whether the argument     is valid or…

A: Given: If you pass general chemistry then you can take organic chemistry. You pass general…

Q: INSTRUCTIONS: Fill out the truth table with "T" or "F". Complete the truth table below and answer…

A:

Q: Deductive reasoning uses facts, definitions, laws, and properties to form a logical argument. O True…

A: ## Given , deductive reasoning uses facts definition laws and properties to form a logical argument…

Q: Which of the following are true statements? State why. d. {2} ⊆ {1,2,3} e. {2} ⊆ {{1},{2}} f. {2} ∈…

A: Statements:                       d) {2}⊆{1, 2, 3}                       e) {2}⊆{1, 2}f) {2}∈{1, 2}

Q: Determine whether the argument is an example of inductive or deductive reasoning Angelika got an A…

A: Note that ; inductive reasoning is the approach to develop a theory after observing a pattern.

Q: Given P(A) = 0.5, P(B)=0.5, P(C) = 0.3. A and B are independent, A and C are disjoint. What is the…

A: P(A)=0.5, P(B)=0.5, P(C)=0.3

Q: poth telling the truth, then so is C", B "If C says s telling the truth, then A is lying", and Č…

A:

Q: Answer T if the argument below is valid; F if it is invalid. No vegetarians eat meat. All vegans are…

A: Let 'p' denotes vegetarians, 'q' denotes those who eat meat and 'r' denotes vegans. Given statement…

Q: Determine if the argument is valid or invalid. Some animals are dogs. All dogs have four legs.…

A: Given: The argument is "Some animals are dogs. All dogs have four legs. Therefore, some animals have…

Q: Consider statements p and q. p: More freshmen chose to major in history than in nursing. q: Math was…

A:

Q: All sound arguments are valid arguments. Select one: O True O False

A: Answer By definition of sound arguments, a sound argument is a valid argument that has true…

Q: For the argument: represent the argument symbolically; determine whether the argument is valid or…

A:

Q: b) Determine if the following statements are logically equivalent. Ensure that you explain the steps…

A: (b) To Determine: Whether the following statements are equivalent or not: (i) ¬a→b∧¬b∨¬a∨¬b (ii)…

Q: State in geometric language, then prove (also geometrically): (a + b + c)² = a² + b² +c² + 2ab +…

A: We have given,     (a + b + c) ^ 2 = a ^ 2 + b ^ 2 + c ^ 2 + 2ab + 2ac + 2bc

Q: Determine if the argument is valid. Justify your answer.   If I exercise, then I will lose weight.…

A: Let us denote the given statements by p and q.  p:I exerciseq:I loose the weight. To verify whether…

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.