Which of the following statements is logically equivalent to ¬[∃y¬p(y)]¬[∃y¬p(y)] ? Group of answer choices:   ∀y¬p(y)∀y¬p(y) ∃yp(y)∃yp(y)

Consider the following statement: Statement A: ∀ integers m and n, if 2m + n is odd then m and n are both odd. Disprove Statement A. That is, show that Statement A is false

VII. Using rules construct deductions to prove that the following are valid 1.1-L&-S 2 (Pv Q) -L 2.1.(R v Q) & S 2. (R v Q)-P 3. PvT

Please answer the question in the screenshot.

Consider the following true propositions:• p : The applicant has passed the learner permit test.• q : The applicant has passed the road test.• r : The applicant is allowed a driver’s license.For each of the following sentences write,symbolically, the compound proposition that correspondstothe given sentence in English asit is written (do not change the order or form of the expression).a) The applicant did not pass the road test but passed the learner permit test.b) If the applicant passes the learner permit test and the road test, then the applicant is allowed adriver’s license.c) Passing the learner permit test and the road test are necessary for being allowed a driver’slicense.d) The applicant passed either the learner permit test or the road test, but not both.e) It is not true that the applicant does not pass the road test and is allowed a driver’s license.

23. p ∧ ¬q 24. (¬p ∨ ¬q) ∨ p25. (p ∨ q) ∧ ¬p 26. (p ∧ q) ∧ ¬p27. (p ∧ q) ∨ (¬p ∨ q) 28. ¬(p ∧ q) ∨ (r ∧ ¬p)29. (p ∨ q) ∧ (¬p ∨ q) ∧ (p ∨ ¬q) ∧ (¬p ∨ ¬q)30. ¬(p ∧ q) ∨ (¬q ∨

than 10, nence y(5) -1.78 which is evaluated according to the expression y = 4sin (x) cos (x) since x(6) is 18.30 which is greater than 10, hence y (6) - -1.78 which is evaluated -according to the expression y = 4sin (x) cos (x) Since x(7) is 5.60 which is less than or equal to 10, hence y(7) = -0.37 which is evaluated according to the expression y = 3sin (5x) cos (3x) >> EXERCISE 19 Write a program using for loop that generates a multiplication table for any integer (given by the user) up to any multiple (also given by the user). Your output should be similar to what is given in the sample below. Sample Output >> exercise19 Enter the number for which you want to create the multiplication table: 91 Enter the number up to which multiplication table is required: 5 91 X 1 = 91 91 X 2 = 182 91 X 3 = 273 91 X 4 = 364 91 X 5 = 455 >> MacBook 80 888 DII DD F2 F3 F5 F7 FB F9 F12

Define the following sets: A={x, y, z, t}, B={s, t, u, v, w, x}, C={t, v, u, s}, D={s, t, u, v}Determine whether each of the statements is true, false, or meaningless.  State your answer clearly.(You do not have to justify your answers, but they have to be correct.) (a){s, t}⊂D (b)A⊆B (c)A∈C (d)|C|=|B|