Given: If X, then not Y. If not Y, then Z. Y is true. So: 1) x is true, z is true 2) x is unknown, z is true 3) x is unknown, z is unknown 4) x is false, z is true

Q: For each numbered line that is not a premise in each of the formal proofs that follow state the rule…

A: We prove the given argument by using rules of inference or replacement rules.

Q: What conclusion can be drawn from the following statement by using the law of detachment? If you are…

A: Law of detachment:-(1) if p then q(2) pThen conclusion is statement 'q'

Q: Consider the following premises: • PV q Then the valid conclusion is

A: Given, 1. p∨q2. p→m   Using Modus ponens on (2) 3. m

Q: Given the statement p and q such that p: John is tall; q: John is fat. The statement - pA ~q is…

A: Give the statements  P : John is tall q : John is fat  To find :-  The equivalent statement to ~p^~q

Q: Suppose that (r ^ q) V (p → r) is known to be false. In this case, which of the following statement:…

A: Solution: Given r∧q∨p→¬r is false. Since p→¬r≡¬p∨¬r Therefore, r∧q∨¬p∨¬r is false We know that if…

Q: For any two different Points such as A and B 1-ABS BA 2- BASAB 3- BA= AB 4- BA + AB 5- BANAB= 0 6-…

A: We apply the vector rule.

Q: Suppose p is true, q is true, r is true, s is false. Then (-p v s) v (q ar) O True O False

A:

Q: (b) Consider the statement: if x 0, then x < y. State the hypothesis P(x, y) and the conclusion…

A:

Q: (b) Consider the statement: if x 0, then r< y. State the hypothesis P(x,y) and the conclusion Q(x,…

A: Consider the statement " If x≤y+∈, ∀∈&gt;0, then x≤y."

Q: (a). Given the premises: (1) p q; (2) g(rAs); (3) -r V (Vu); (1) p^l. Conclusion: u.

A:

Q: 5. Given: ZACD+ ZCDE = 180° and add Reason: Conclusion:

A: If the sum of two angles is equal to 180° Then such type of angles are knows as supplementary angle…

Q: Which statements could be used to complete Mikayla's pr @ 4. 2.m TUS = 2 M4PUQ 5. m TUS = M4PUQ %3D…

A: here last option (D) is true.

Q: is this true? -pA (p V -p) V q is logically equivalent to -p → q.

A:

Q: Given: AB AC C. Prove: ABDE-ACFE

A:

Q: Which statement below is true? A. If p q is true, then q p is true. > B. If p q is true and p is…

A: We have to state which is true from the given option.

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

A: Given query is to prove that angle 1 and 3 are supplimentary.

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: 4. Negate each of the following statements.  a) ∀x ∃y ∃z, q(x, y, z)] b) ∃y ∃x ∀z, p(x, y)

A: Convert "∃"  to  "∀". Convert "∀"  to  "∃". Take the negation (~) of the given statement.

Q: Given: If X, then not Y. If not Y, then Z. Y is true. So: (A) X is false, Z is unknown B) X is true,…

A:

Q: If Ac B and A c D, then B c D. True False

A:

Q: Given: If X, then not Y. If not Y, then Z. Y is true. So:

A:

Q: Suppose L(x) = "x is a llama" and E(x) = "x is an emperor." Do the following to statements mean the…

A: Consider the given information:

Q: For the given facts, indicate what can be deduced from the if-then statement whose reverse is also…

A: The given statement is "If Jackie is under 14, then Kim is under 12" It's reverse is correct. And…

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: VXVYP(x,y) is equivalent to VyVxP(x,y). O True O False

A: ∀x ∀y Px, y is equivalent to ∀y ∀x Px, y.

Q: ii- Given the following Premises: ¬A → (CAD) A → B ¬B Prove: C.

A:

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

A:

Q: Choose the statement below that is FALSE (only 1 is false) and explain why it is false. 6 #1: 12 #2:…

A: Use basic property of integral.

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: Use the law of syllogism to write a new conditional that follows from the pair of given statements:…

A:

Q: Which lines in the following proof of  △ABC≅△CDA have the correct justification? Select all that…

A:

Q: Given : if x, then Y. If Y, then Z. Y is true, So:

A: Given : if x, then Y. If Y, then Z.

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: Which argument/s is/are valid? 1. Marie is hardworking. Therefore Marie is hardworking and generous.…

A: An argument can be categorized as valid or invalid based on criteria.

Q: If X, then not Y. If not Y, then Z. Y is true. So: X is unknown, Z is unknown  X is unknown, Z is…

A:

Q: Given: If X, then Y. If Y, then Z. Y is true. So:   a) x is unknown, z is unknown b) x is…

A:

Q: Given that a is false and b is false. Which of the following is FALSE? Oa + b Oa - b Oavb O-a A-b

A: Given: a is false and b is false. To find: Which of the given is false.

Q: Given the following premises, how many lines does the most natural proof of the following…

A: First we prove the given proposition by using the rules of inference. Then we see how many lines the…

Q: 1. Which statement is needed to complete this syllogism? If two angles are vertical, then the angles…

A:

Q: following statements must also be TRUE?

A: Given statement, 'If I am dancing like a robot, then this test is over'

Q: The law of syllogism states that if p→q and q→r, then p→r. O True O False

A:

Q: Given: If X, then Y. If Y, then Z. Y is true. So: X is unknown, Z is unknown X is unknown, Z is true…

A: It is given that “If X, then Y. If Y, then Z”. From the given statement it is clear that, If X, then…

Q: If w is FALSE, x is TRUE, and y is FALSE, what is ((w OR y') AND (x' AND y')') OR ((w OR y')' AND (x…

A: If w is FALSE, x is TRUE, and y is FALSE, we need to find ((w OR y') AND (x' AND y')') OR ((w OR…

Q: 4. Given: BC + BE = AD, BE = EF Reason: Conclusion: BC + EF = AD

A:

Q: Check the two statements that are true according to DeMorgan's Laws. (P v Q) is logically equivalent…

A:

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

A:

Q: Which of the following statement(s) is(are) TRUE?

A: Test is that whether the mean amount of pay farmers received in a month is less than 8000 pesos.

Q: Given: Figure as shown 24 is supp. to 22 Prove: 3 6. 2. 4.

A: To prove: The angle 4 is supplementary to angle 2. Concept used: The sum of the angle on straight…

Q: When does vxayP(x, y) be true? A) P(x, y) is true for every pair x, y. В For every x there is a y…

A: Given that, ∀x∃y P(x,y)