EXERCISESDIRECTIONS: Answer the following questions below and put your answer in the space provider.Formalize the given statements using the following propositions.p: Paul is happy.q: Queenie is happy.r: Paul plays guitar.1. Both Paul and Queenie are happy.2. Paul plays the guitar provided that he is happy.3. IF Paul is happy and plays the guitar, then Queenie is not happy.Let M: Mark is English and L: Lem is German. Translate the following logic symbols intowords.4. M VL5. -L6. ML7. MA(-L).8. Mv(-M-L)Write the conditional statement in its equivalent disjunetive form."If two triangles are similar, then their coresponding sides are proportional."Write the negation of the given statement in its equivalent conjunctive form."If a square matrix A is singular, then det(4) = 0."10.

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Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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Write the statement in symbolic form. Let p and q represent the following statements. p: The teacher is at the blackboard. q: The students are at their desks. The students are not at their desks or the teacher is not at the blackboard. The statement in symbolic form is
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Which conclusion follows from the 2 given statements ?
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Let p, q, and r represent the following simple statements. p: I eat bananas. q: I like ice cream. r I like to eat. Write the following compound statement in its symbolic form. If I do not eat bananas then: I do not like ice cream and I do not like to eat. The symbolic form is
Directions: Translate each argument into symbolic form (using the suggested letters) and determine whether the argument is valid or invalid by using truth table (Method 1) or standard form of arguments (Method 2). State your answer in sentence form. If Tomas was absent, then he missed the review. (A, M) Tomas was absent. Therefore, Tomas missed the review.
Select the statement that is equivalent to I saw The Titanic or Napoleon Dynamite. Choose the correct statement below. A. If I saw The Titanic, I did not see Napoleon Dynamite. B. If I saw Napoleon Dynamite, I did not see The Titanic. C. If I did not see The Titanic, I saw Napoleon Dynamite. D. I saw both The Titanic and Napoleon Dynamite.
Directions: Translate each argument into symbolic form (using the suggested letters) and determine whether the argument is valid or invalid by using truth table (Method 1) or standard form of arguments (Method 2). State your answer in sentence form. He is dumb or lazy. (D, L) He is dumb. Therefore, he is not lazy.
* ClassLin x XLi https://a x Biodiver x E Example X E Emeralo A 4/4/22. A Emerald x E Alicia Ke X O 10.1 - S X E Surface x + A cmcss.instructure.com/courses/137131/assignments/381808 4 cm 3 ст 23 ст Calculate the surface area. cm? 1:49 PM P Type here to search 4/4/2022
Use the statements and truth table to determine which statements are equivalent. p: It is a university. q: It offers a degree in electrical engineering. pqpqpq ~p → ~qqp ~q→ ~p TT FL וד F T T T T TF F T F T T F FT T FL T F FL T FF T T T T T T If it offers a degree in electrical engineering, then it is a university. If it is a university, then it offers a degree in electrical engineering. If it offers a degree in electrical engineering, then it is a university. It is a university, and it offers a degree in electrical engineering. If it offers a degree in electrical engineering, then it is a university. If it is not a university, then it does not offer a degree in electrical engineering. If it is a university, then it does not offer a degree in electrical engineering. It is a university, or it offers a degree in electrical engineering.
Tulips The diagram shows the relationship between two sets. Flowers aUse the diagram to write a statement beginning with the word "all," "some," or "no" that illustrates the relationship between the sets. b.Determine if the statement in part (a) is true or false. If it is false, write its negation. a. Choose the correct statement below that illustrates the relationship between the sets. O A. No tulips are flowers. O B. All flowers are tulips. OC. All tulips are flowers. O D. Some flowers are tulips. O E. Some tulips are flowers. b. Is the statement in part (a) true or false? O A. False; its negation is "Some tulips are not flowers." O B. False; its negation is "Some flowers are not tulips." O C. False; its negation is "Some flowers are tulips." OD. False; its negation is "No tulips are flowers." O Time Remaining: 01:58:05 Next MacBook Air 4) 0 9. > FS) F7 esc F2 F4 #3 & * 2$ 4 2 3 5 6. 7 8 9 delete Q W E R Y A S F J K ck C V M N
Translate the statement into symbolic form. (Let a: The amount on line 31 is less than $26,673; c: A child lives with you; p: You turn to page 27.) If the amount on line 31 is less than $26,673 and a child lives with you, turn to page 27. (a ∧ c) → p(a ∨ c) → p a → (c ∨ p)(a ∧ ~c) → ~p(~a ∨ ~c) → ~p

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