P(x): x is police M(x): x is male H(x): x is happy now How to express it in a logical way to say that: there are exactly two male police who are happy now?

Q: Given: 2(x- 3) = 6 Statements Reasons Prove: x= 6

A: Given :-  2(x-3)= 6  To prove :-  x=6

Q: ¬ (p˅ (¬p˄q) ≡¬p˄ (¬p˄q) prove using logic laws

A: According to the given information, it is required to prove the required result.

Q: (a) give an example of a simple mathematical argument that is valid and sound. (b) prove its…

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Q: Using the formal axiomatic system prove the following theorem (A→ B) →(--B →-A)

A: This question is about application of axiomatic system

Q: Determine whether the following argument is valid: (show your solution) If Superman were able and…

A: Superman were able and willing to prevent evil ( A ∧ W ) → P If Superman were unable to prevent evil…

Q: Give an example of a mathematical statement that is valid and sound. Justify its validity and…

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Q: 3Fn - Fn-2= Fn+2 for n 2 3 valid not valid

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Q: +(-A→ A) →(B → A)

A: Using the formal axiomatic system prove the following theorem ¬A→A→B→A

Q: 3.4 Are X and Y independent (Yes/No)? Justify your answer.

A: X and Y are independent iff f(X,Y)=f(X)f(Y)  Note: According to Bartleby guidelines expert solve…

Q: Symbolize the following argument and prove it is a valid argument. Let B ( x ) = x is a bear; D ( x…

A: Step:1 Given that B(x) = x is a bear, D(x) = x is dangerous & H(x) = x is hungry. We have to…

Q: rove the statement “Two distinct points will never meet”   (Provide all necessary theories and…

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Q: Boolean expression of the logical expression [(rv-F) A -(FA T)]v(¬TVF) is (1 +0)- (0-1) + (ī + 0)…

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Q: Prove validity: K→[G→ (H –→ J)]

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Q: Boolean expression of the logical expression [(TV¬F) ^ ¬(FA T)]v(¬rvF) is

A: (T ∨ ~F) = ( T ∨ T) = T ~( F ∧ T) = ~( F) = T ∴ [ ( T V ~F) ∧ ~( F ∧ T) ] = T

Q: Step Justification -(-v) + (-v) = 0 and v + (-v) = 0 --Select-- -(-v) + (-v) = v + (-v) transitive…

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Q: A driver leaves his house at 7:00 a.m. and arrives at his work at 8:00 a.m. The maximum speed at…

A: Here, speed is time dependent. That is we can say that speed S depend on time t. That is S=S(t)

Q: The three digit number is given . The sum of all different three digit numbers with the same digits…

A: The three-digit-numbers that satisfies the given property are 108,126,135,234,207,306,405 So there…

Q: Using symbols give a nontrivial negation of each of the following statements. (a.) V x E R, if x > 0…

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Q: Formal Proofs Show the following two premises are inconsistent by deducing a contradiction from…

A: as we have to prove that the given premise are inconsistent   1.∃y ( ¬ T ( y ) ∧ S ( y ), Premise…

Q: uestion 11 3! x (x - 1 = 0),where domain consists of all integer numbers True False

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Q: There are 36 apple trees in an orchard. Each tree produces 900 apples. For each additional tree…

A: To calculate the number of trees that should be added to the existing orchard to maximize the total…

Q: Let A(x) be an open sentence with variable x. Show that the converse of (∃! x) A(x) ⇒ (∃ x) A(x)…

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Q: Can you proof the following. P( a1 < X < a1 , b1 < Y < b2 ) =  F(a1,b1) + F(a2,b2) - F(a1,b2) -…

A: Let F be the distribution function of a two dimensional random variable (X,Y). Then,if a1&lt;a2 and…

Q: True or False: A statement and its converse are logically equivalent. Please show work.

A: The statement is given as:   A statement and its converse are logically equivalent.   Now, find…

Q: 9. True or False: “There is no way to assign truth values to the atomic components of an equivalent…

A: Clearly this statement is

Q: by x * y = 1 + x + y on the set of real numbers. Show that * is commutative but not associative

A: Given: x*y =1+x+y To show: * is commutative and associative.

Q: Boolean expression of the logical expression [(TV¬F) ^ ¬(F^ T)]v(¬TVF) is is

A:

Q: Using Rules of Inference I need to derive the conclusion If I were smart or good-looking, I would…

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Q: A square and rectangle are both equallateral True or false

A: False.  Square has 4 equal sides But in rectangle opposite sides are equal

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

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Q: Give an example of a mathematical proposition that is true based on a model. Briefly explain why it…

A: To give an example of a mathematical proposition that is true based on a model.

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…

Q: Symbolize the following argument and prove it is a valid argument. Let B ( x ) = x is a bear; D ( x…

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Q: As the population of a circular city grows, its radius increases r = f(p) be the radius of the city…

A: (A) Since radius of the city is defined as r when population of the city is p thousand people.…

Q: Q.Translate the following statement into English,where C(x) is "x is a comedian" and F(x) is "x is…

A: ∃x(C(x)→F(x))  C(x) -&gt; F(x).

Q: mutually exclusive is always complementary? A. TRUE B, FALSE

A: Solution: We have to determine if mutually exclusive is always complementary

Q: The three digit number is given the sum of all different three digits numbers with the same digits…

A: Given - The sum of all three digits number that satisfies the given condition = 1998.

Q: Prove validity: J K → [G→(H → J)]

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Q: Symbolic Logic-Solve the following arguments: do not use CP or IP: 1. (x)[Gx Ɔ (Bx • Hx)] 2. (x)[Hx…

A: 1.  ∀xGx⊃Bx.Hx                  Premise 2. ∀xHx∨Rx⊃Wx                  Premise 3. Ga⊃Ba.Ha…

Q: Problem Statement

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Q: n The negation of the statement Vx:x² +9≤100 O a. 3x:x² +9> 100 O b. (Vx.x² +9<100) Ос. Эх:х2+9 $…

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Q: 4. (0} is open in Y. a. True b. False

A: Let N be a discrete topology. Y is a subspace of R. The given function is

Q: The rule of inference that permits us to derive a specific instance from a universal statement is…

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Q: W+→ (M & D) - (M & D) ~ W Prove validity:

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Q: i. Represent the argument symbolically. ii. Determine whether the argument is valid or invalid.…

A: We have to answer on the above given criteria.

Q: A converse of a statement exchanges the hypothesis and conclusion. O True O False

A: Given query is to find the statement is true of false.

Q: (s→ r) ˄ (q → r) ≡ (s ˅ q) →  r prove using logic laws

A: We consider L H S  And prove R H S with help  Laws of logic. The equivalence can be proved with help…

Q: represent the argument symbolically; determine whether the argument is valid or invalid (justify…

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Q: The negation of Vx, (x² – 3 > x) is Vx, (x² – 3 < x)) the above one None of the mentioned 3x, (x2 –…

A: The negation of the statement is the opposite of the given statement Negation of some of the…

Q: Given 9y-7=29 Prove y=4 Statements Reasons

A: