Worksheet #10: Truth TableI. Given that P, Q, and R are true statements, and M, N, and O are falsestatements, determine which compound statements are true.1. (Q V N) → ~R2. ~(Q v 0) → (~M V M)3. ~(Q V N) A (R V M)4. (Q V N) → (R V N)

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Answered: Worksheet #10: Truth Table I. Given…

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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6. Match each logical statement in the left hand column with an equivalent logical statement in the right hand column. Logical Statement (i) ~ WA~y Logical Statement (v) w v ~y (ii) wA~y (vi) ~ (~w→ y) (iii) w v y (vii) ~ (~w v y) (viii) ~ w → y (iv) ~ (~WAy)
6. Determine the values of the given statements if p is true and q is false. i. ~p v~q ii. p^q^~p
2. Let the statement p be true and q be false. What are the truth values of the following? Show all needed work. а. b. p^ ~q be d~
truth table
If~(p V g) is true, what must be the truth values of the component statements? 1: h hes
answer 1
T T T F 35. If x.y is even, then x is even and y is even. F 36. F 37. The negation of an implication is another implication. [~P⇒(Q^~Q)] is logical equivalent to P
1. Given that p and q are True and r and s are False, find the truth value of the statement. (~r) = (pA(r → (~qV~s))) 2. (а) Rewrite the statements in the form of " i. x, No irrational numbers are integers. The number -4 is not equal to the square of any real number. ii. (b) Rewrite the statements in the form of "3 i. ii. x, Some exercises have answers. Some real numbers are rational. (c) Determine the truth value of the statements where D = E = {-9, –3,0,3,9}. Hence, write the negation of the statements. i. i. x in D, 3y in E such that x +y = 0. 3x in D such that Vy in E, x + y = y. 3. Find the union, intersection, and difference (A - B) of the following pairs of sets. (a) A = The set of positive odd integers less than 15. B = The set of positive even integers less than 16. (b) A = (f,l,o,w,e,r} B = {c,l, o,n, e}
Activity 5. Propositions and Logical Operators A. Given the following propositions: P: Cecilion studied hard for his math exam. Q: Cecilion got a high score on his math exam. Write each of the following propositions as an English sentence. 1-2. P V Q ~P^Q 3-4. ~Q → ~P 5-6. ~P 9-10. 7-8. P+ Q B. Determine whether each of the following is a proposition or not a proposition. Write P if it's a propo and MS, otherwise. 14. Today is awesome! 15. She is beautiful. U 11. 2x + 4 > 6 when x = 5. %3D 12. Baguio is the summer capital of the Philippines. M 13. 11x + 2 = 5.
Complete the row of each truth table. Use T for true and F for false, b ~a^b cv(~ anb) C аль | T F ~p ~ (qv~p) - (qv ~p)ar r qu~p F. F T. T

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Worksheet #10: Truth Table I. Given that P, Q, and R are true statements, and M, N, and O are false statements, determine which compound statements are true. 1. (Q V N) → ~R 2. ~(Q v 0) → (~M V M) 3. ~(Q V N) A (R V M) 4. (Q V N) → (R V N)