Complete the premise in the following argument. Premise 1: If set P is a subset of set Q, then Pn Q = P. Premise 2: . Premise 3: Set P is not a subset of set Q. A. PUQ = Q B. Pn Q = P C. PnQ # P D. PUQ + P

Q: 1.7 Applying Rules From the premises "p and not q" and "r and not s", we can derive the conclusion…

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Q: Question 11. Taking a (x), b(x) and c(x) to denote the statements "x E A", "x E B" and "x E C"…

A: Given: A∪B=A∪B-A A∪B⊆C≡A⊆C∧B⊆C ax, bx, and cx denotes x∈A, x∈B, and x∈C respectively. To do:…

Q: If A and B are sets, and A = B, then A and B cannot be disjoint. True False

A: Given that If A and B are sets and A=B then A and B cannot be disjoint.

Q: Question#3; Construct the truth table for the statements that shows the logical equivalence of the…

A: To show: Logical Equivalences of the statement  P→(Q∨R) and (P∧¬Q)→R We first construct the truth…

Q: Write above five statements into Mathematical logic b) State and prove first De Morgan Law.

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Q: Let C be the set of movie critics, let M be the set of movies that have ever been released, and let…

A: We will transform this logical statement into descriptive statement into next step.

Q: In oH, ZJHK E LHM. Select all the statements that must be true. O A. ALHKEAJHK M B. ML = JK H O C.…

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Q: Please draw the circuit diagram that corresponds to the following logical statement: "p v (qA "r)

A: We use properties of logical circuit.

Q: Assume A, B, and C are sets. Prove the following deductions are valid. a.  A ⊂ (B ∪ C), ∴ (A \ C) ⊂…

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Q: 1. If A and B are ANY two sets, determine the truth-values of the following statements If a…

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Q: Given the premise set Γ={p,q,r,s} and ϕ=(p∨q)∧r, which of the following are the essential premise…

A: Answer : { p , r } and { q , r }

Q: Given the following universal set U={x|x is a letter in "THE FRANCIS MARION UNIVERSITY PATRIOTS"}…

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Q: The following statement is written as a conditional: If 51% of the population are men, then 49% of…

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Q: Question 16. Which of the following is/are the universal Logic gate? A. OR and NOR B. AND C. NAND…

A: The given statement is,    “Which of the following are the universal logic gates?”

Q: How to Solve Truth Table ?

A: Known fact:There are two valued logic is used to represents the given statement, is either True or…

Q: 1-Show that (p→r)n (q->r)and (puq)→r equivalent using tuth tahlr Logically are

A: “Since you have asked multiple questions in a single request, we will be answering only the 1st…

Q: Complete the following truth table PQ P=Q Q=P_ (P=Q) ^ (Q = P) T T T F FT F F

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Q: Are the following two logical statements equivlent ~( p v q) ~ p ^ ~q

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Q: Consider the following argument: Premise 1: A → (B ^ C) Premise 2: ¬(B ^ C) What is the appropriate…

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Q: Given the premise set Γ={p,q,r,s} and ϕ=(p∨q)∧r, what is the degree of essentialness of s for the…

A: Solution :The premise set Γ= {p,q,r,s} and ϕ= (p∨q)∧rThe equation mean is,(p or q) and r. It says…

Q: Given: sets T and V are reflexive. True/False: TU V is reflexive O True O False

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Q: If the statement p∧q is true​, and p is true​, then q must be​ _____.   A.True B.False

A: p^q means p and q.

Q: 1. If ACFE APTR. complete each of the following statements. a) CE d) ZP g) ARPT b) TR e) ZE h) AFEC…

A: Given,

Q: 4. If A and B are ANY two sets with AB, determine the truth-values of the following statements. If a…

A: Please see the attachment

Q: Verify that the following statements are tautologies. 1) Transitive Law [(p → q)A(q → r)] → (p → r)…

A: 1)Transitive law[(p→q)∧(q→r)]→(p→r)2)Law of Excluded Middle p∨~p3)Law of Syllogism[p∧(p→q)]→q

Q: Given: < 2 S <3 Prove: <1 and < 3 supplementary are Statement Reason Given

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Q: If P (A) = 0.3, P(B) =0.6, and P (Aor B) =0.7 are A and B mutually exclusive?

A: Two events are said to be mutually exclusive when both can not occur simultaneously.  A and B are…

Q: Given: sets T and V are transitive. True/False: TU Vis transitive True False

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Q: Let P, Q, and R be statements. Which of the following logical equivalence is False? P=Q = ¬P=¬Q P=Q…

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Q: Consider the following Tarski world: b d A h i k Predicates exist as follows: Blue(x) means x is…

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Q: Is the following argument valid? All superheros can fly Shelbey is not a superhero ∴ Shelbey…

A: Is the following argument valid? All superheros can fly Shelbey is not a superhero ∴ Shelbey cannot…

Q: Determine which of the following sentences are propositions and indicate their truth values. 1.…

A: Since you have asked multiple question, we will solve the first question for you. If you  want any…

Q: In order to prove A ABENA ACD, which of these statements must be true?

A: 2 triangles are similar if the respective angles of the 2 triangles are equal. The corresponding…

Q: The following statement is written as a conditional: I love green eggs and ham. O True O False

A:

Q: 4. If A and B are ANY two sets with AB, determine the truth-values of the following statements. If a…

A: Let A and B be any two sets with  A⊆ B i.e., A is subset of B  Let p: (B\A) = Ø i.e., set of…

Q: 1. Draw a Venn diagram and determine whether the following argument is valid. Premise All European…

A: Draw the venn diagram for the given Premise: Premise: All European countries are countries in the…

Q: Is the following argument valid? Assume that premises 1 and 2 are true. 1. If it is raining, then…

A: Conditional Reasoning: 1. If it is raining, then Tim will stay in the house. 2. It is raining.

Q: Question 8. A Compound proposition that is neither a tautology nor a contradiction is called.. . A.…

A: Definition of Contingency: A compound proposition that is always true for all possible truth values…

Q: Given the following truth table for r → (p → q) and (p → q) A (q→ (r → q)) r → (p → q) (p → q) ^ (q→…

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Q: Given: sets R and S are transitive. True/False: RNSis transitive O True O False

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Q: Question 4 (a) Let p and q be two logical propositions. Give the truth table for the two compound…

A: Consider the given information. p∧q And, p∧q∨¬p

Q: Construct a Venn diagram to determine the validity of the following argument. 1. All professional…

A: It is given that all professional wrestlers are actors.

Q: Determine the valid conclusion, given the following premises: 1. -p v q vr 2. -4 3. -r Therefore, O…

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Q: Let p, q and r be statement variables. (a) Prove that (p = (q ^ r)) (b) Prove that (p= (q ^ r)) =…

A: Let p and q be two propositions.  If the propositions p and q are logically equivalent, then they…

Q: Indicate what can be deduced from the given if-then statements and fact. If A, then B, and…

A: Given, If A then B, and vice-versa. So, If B then A, and vice-versa. Again given, If B then C. Also,…

Q: What relevant conclusion can be drawn from the following promesise. "If I play hockey, then I am…

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Q: Which statement is logically equivalent to (P→Q) O (Q→P) OPAQ OPV¬Q O¬¬Q

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Q: Indicate what can be deduced from the given if-then statements and fact. If A, then B, and…

A: The given statement is If A then B, and vice-versa. If B then C, and vice-versa. So, we get If B…

Q: Question 1 (a) A set of premises is given below. (p → q) v (~r) (~p)^ (q V r) r → (~p) (premise 1)…

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