3. Translate the following symbolic sentences into English. Make your answer as conciseas possible.(a) VnE N, 2n+1 <2n.(b) Vr ER, 3y E Q, y > x.(c) a ER, VER, x + x a.Which, if any, of these statements are true?

Translate the given statements into english.

Answered: 3. Translate the following symbolic…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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7. Variable represents students, y represents courses. M(y) rep. y is a math course, F(x) rep. x is a freshman, B(x) rep. x is a full-time student, T(x, y) rep. x is taking y. Write the statement in good English without using variables in your answers. a) VrayT(x, y) b) 3rVyT(x, y) c) Vray[(B(x) ^ F(x)) → (M(y) ^ T(x, y))]
answer 41 42 43. this is not english but mathematics logic
Let B(x) be the predicate "person x is a fan of the Bulldogs" and let y(x) be the predicate "person x is a fan of the Yellow Jackets," where the domain for the variable x is the set of all people. Express the following symbolic proposition as an English sentence: 3x(B(x) VY(x)) Some person is a fan of the Bulldogs or a fan of the Yellow Jackets. Every person is a fan of the Bulldogs or a fan of the Yellow Jackets. Some person is a fan of the Bulldogs and a fan of the Yellow Jackets. Every person is a fan of the Bulldogs and a fan of the Yellow Jackets.
Draw the logic diagram for this expression: (p v q) ^ (!r v !q)
Q5. Find the negation of the following statement: (-p →q ) V ~p and simplify your answer to the simplest form.
2. In the following expressions, the box can possibly be filled with E or C. Do both, either, or neither of them make a true statement? Explain your reasoning. (Videos 1.2B, 1.2C, and 1.2D) Ø☐0 {1} {{1¹},2} {1,2}{1,2}
Write the negation of each statement. (d) 3x in B Ə f (x)> k. (e) If x> 5, then f(x) 7. (f) Ifx is in A, then 3 y in B Ə f(x)< f(v).
Q#2: Determine which, if any, of the following statements are equivalent to “It is not true that the story is on social media and the story is real.” a. If the tire is not flat, then the tire is not out of balance. b. The tire is not out of balance or the tire is not flat. c. The tire is not flat and the tire is not out of balance. d. If the tire is not out of balance, then the tire is not flat.
1. Write the expression for each symbolic form. Let p: The children are at school. q: It is not a sunday. (a) (b) (c) pv q b + d~
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Let: p: You study hard. q: You eat your Wheaties. r: You fail the exam. What is the statement (p A g) →~ r? O If you studyhard and eat your Wheaties, you won't fail the exam. You studied hard and ate your Wheaties so you passed the exam. O You failed the exam because you didn't study hard and eat your Wheaties. O Wheaties are gross. I ate Reese's Puffs instead and passed the exam. MAY MacBook Air 000 F3 O00 F4 F5 F6 F7 F8 %24 % & 4. 5 6 00

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3. Translate the following symbolic sentences into English. Make your answer as concise as possible. (a) VnE N, 2n+1 <2n. (b) Vr ER, 3y E Q, y > x. (c) a € R, Vr ER, x + x| # a. Which, if any, of these statements are true?