1. DETAILS Determine which pairs of statements are equivalent. (Select all that apply.) i. If the Giants win, then I am happy. ii. If I am happy, then the Giants won. iii. If the Giants lose, then I am unhappy. iv. If I am unhappy, then the Giants lose. i and ii i and ii i and iv ii and iii ii and iv iii and iv

Q: 3. Determine whether the given statements are equivalent. a. If a = b, then a c = b·c If a + b, then…

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Q: Consider the following statements: p: You need a credit card. q: T have a nickel. Select the correct…

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Q: Construct a truth table for the statement. ~(p ^ ng) р ~(p ^ ~g) T ? ? ? F ? ? F T ? ? ? F F ? ? ?

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Q: How many lines does the most natural proof of the following proposition contain: (A→B)∨(B→A)

A: The proposition can be written as   a⇒b=b∨¬ab⇒a=a∨¬b(a⇒b)∨(b⇒a)=1

Q: 4. Write each of the following statements, in English, in the form "if p, then q". a. Igo swimming…

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Q: which of the following statements are true? S

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Q: Let A be the statement p → (q ∧ ¬r). Let B be the statement q ↔ r. (a) Construct truth tables for A…

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Q: Consider the following statements: A: Raju should exercise.; B: Raju is not a decent table tennis…

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Q: 4. Let p, q, and r be the statements p: Grizzly bears have been seen in the area. q: Hiking is safe…

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Q: Construct a truth table for the statement. ~(p v ~g) pv ng ~(p v ~g) ? : ? ? : F ? ? ? FT ? : ? F ?

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Q: Which steps are the Negation laws, Absorption laws, Disjunctive form, De Morgan's law and…

A: Find the laws used in each step as shown below.

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A: The given statement is, If you are the president of the United States, then your age is at least 35.…

Q: 20. Given that P and Q are mathematical statements, then the statement ~ P = Q = A. Q =~ P B. Q = P…

A: Given ,  P and Q are mathematical statements , then the statement ~ P ⇒ Q ≡

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A: Here we have to find the Venn diagram for " all the poodles are dog"

Q: (e) Decide if the following arguments are valid or invalid. State the Rule of Inference or fallacy…

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Q: Geronimo does not play the guitar. (a) (p ∧ q) ∨ r (b) ∼ p → (p ∨ r) (c) (p ∨ s) → (q ∧ t) (d) (r ∧…

A: We have given, p : Sarah Geronimo is a singer. q : Sarah Geronimo not a songwriter. r : Sarah…

Q: Let p, q, and r represent the following statements. p: The job pays well. q: The taxes are high. r.…

A: Given, p: The job pays well q: The taxes are high r: I like my job

Q: 1. Determine whether each sentence is a mathematical statement or not. If it is a mathematical…

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A: NOTE- As per our guidelines we have to answer only first question if multiple questions are…

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Q: Let ?, ?, and ? be the statements ?: Grizzly bears have been seen in the area. ?: Hiking is safe on…

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Q: Determine whether A = B, ACB, BCA, AC B, BCA, or if none of these applies. A= {quarter, dime,…

A: Given A ={quarter,dime, nickel, penny} B={quarter, penny}

Q: II. Determine whether the given statement is a tautology, self- contradiction or neither. a. [~( ~p^…

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Q: Let p,q, and r represent the following statement.  p: The job pays well  q: The taxes are high…

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Q: If I snore, then I am sleep. What is the converse?

A: The given statements are p→q p: If i Snore  q: I am sleep  To find the converse of the q→p

Q: 1.2 EXERCISES Which of the following are statements? Why or why not? a. George Washington was the…

A: a) It is a statement. Because it is stating a fact.   b)  It is a statement. Because it is stating a…

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Q: Convert the following symbolic statements into words given the following propositions. p: Gian plays…

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Q: 3. Determine whether the following argument is a valid argument or a fallacy: p= ¬q,r = q, r F ¬p.

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Q: 12 Which of the follawing are equivalent statements?? AqA-rand-qA-r B. pA-rand pv-r C. -qArand -qA-r

A: As per Bartleby's answering policy, we can answer only one question and a maximum of three subparts…

Q: et c, z, and m be the following statements: c: The internet is not working. z: I attend the class…

A: Let c, z, and m be the following statements: c: The internet is not working z: I attend the class…

Q: 9. The converse of the statement p = q, is represented as A q=p'. B -p = ~q C p= q D -g = p

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Q: Let p,q, and r represent the following statement. p: I eat bananas q: I like ice cream r: I…

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Q: By using Venn diagrams, test the validity of the following argument: All teenagers eat oily foods.…

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Q: 3. Determine whether the following argument is valid or invalid. If I arrive before 8 A.M., then I…

A: To find- Determine whether the following argument is valid or invalid. If I arrive befor 8 A.M.,…

Q: Use De Morgan’s Laws to determine whether the two statements are equivalent           ~ (p Λ q),…

A: Recall the De Morgan's Law as follows. ~A∨B≡~A∧~B~A∧B≡~A∨~B

Q: 9. If PIg 9 ||r ||s. and sl then which of the following statements is not true?

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Q: Which of the following statements is/are equivalent to  “All Filipinos are law-abiding.”  If you…

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

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Q: 5. Write the contrapositive and converse statements for the statements belows: a. If you love me,…

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Q: Let S = {Ø, {a}, b, {a, b, c}}.Select the statements that are true. {b, {a,b,c}} C S {b, {a} ,Ø} C S…

A: If A is a set whose all element are from the another set B, then A is said to be subset of set B.

Q: 1. Determine if the following statements are mathematical or not. a. Today is MMW class day. b. Eh,…

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Q: 20. Which of the following statements is true?

A: I have provided a solution in step 2.

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Q: Consider the following statements: e: The tour goes to Italy. a: The hotel fees are included. t: We…

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Q: Let p and q represent the following statements. p: Sue's dress is not blue. q: Salvadore Dali…

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Q: Use De Morgan's Laws to write an equivalent statement without using parentheses. ~ (p^q)

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Q: Which of the following statement is equivalent to: If Josh is a registered voter, he can vote for…

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Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.