p: The tour goes
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Given the statements p, q, r, s, t and u.
p: The tour goes to Italy.
q: The tour goes to Spain.
r: We go to Venice.
s: We go to Florence.
Represent the following statement in symbols
1. "The tour goes to Italy and did not go to Spain."
2. " If we go to Venice, then we can’t go to Florence."
3. "We go to Venice or We go to Florence."
4. "If the tour goes to Italy, then we go to Venice."
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- Let p, q, and r represent the following statements: p: The first ball is red. q: The second ball is white. r: The third ball is blue. Which would be the correct English statement for the symbolic form (¬¬p ∧∧ q) →→ r ? Group of answer choices A .If the first ball is red or the second ball is white, then the third ball is blue. B. If the first ball is not red or the second ball is white, then the third ball is blue. C .If the first ball is not red and the second ball is white, then the third ball is blue. D. If the first ball is red and the second ball is white, then the third ball is blue.Three forms of negation are given for each statement. Which is correct?a. Some people like mathematics.1. Some people dislike mathematics.2. Everybody dislikes mathematics.3. Everybody likes mathematics.b. Everyone loves ice cream.1. No one loves ice cream.2. Everyone dislikes ice cream.3. Someone doesn’t love ice cream.c. All people are tall and thin.1. Someone is short and fat.2. No one is tall and thin.3. Someone is short or fat.d. Some pictures are old or faded.1. Every picture is neither old nor faded.2. Some pictures are not old or faded.3. All pictures are not old or not faded.Suppose P and Q are the statements: P: Jack passed math. Q: Jill passed math. (a) Translate “Jack and Jill both passed math” into symbols. (b) Translate “If Jack passed math, then Jill did not” into symbols. (c) Translate “P ∨ Q” into English. (d) Translate “¬(P ∧ Q) → Q” into English.
- write the argument using propositional wffs (use the statement letters shown). Then, using propositional logic, The crop is good, but there is not enough water. If there is a lot of rain or not a lot of sun, then there is enough water. Therefore, the crop is good and there is a lot of sun. C, W, R, SThree forms of negation are given for each statement. Which is correct?a. Nobody is perfect.1. Everyone is imperfect.2. Everyone is perfect.3. Someone is perfect.b. All swimmers are tall.1. Some swimmer is not tall.2. There are no tall swimmers.3. Every swimmer is short.c. Every planet is cold and lifeless.1. No planet is cold and lifeless.2. Some planet is not cold and not lifeless.3. Some planet is not cold or not lifeless.d. No bears are hungry.1. Only bears are hungy.2. All bears are hungry.3. There is a hungry bear.Write the following compound statement in terms of the simple statements p, q, and r. "I go to office hours and ask questions, and my professor does not remember me." p: I go to office hours. q: I ask questions. r: My professor remembers me.
- For below facts, rules, and goals write English Meanings. (1) color(carrots, orange). (2) likes(Person, carrots):-vegetarian(Person). (3) pass(Student) :- study_hard(Student). (4) ?- pass(Who). (5) ?- teaches(professor, Course). (6) enemies(X, Y) :- hates(X, Y), fights(X, Y). What answers do you get for below queries for given program.Program : vegetarian(jose). vegetarian(james). vegetable(carrot). vegetable(egg_plant). likes(jose, X) :- vegetable(X). loves(Who, egg_plant) :- vegetarian(Who).Queries : ?- vegetable(X). ?- vegetable(potato). ?- vegetarian(_). ?- likes(jose, What). ?- likes(Who, egg_plant). ?- loves(Who, egg_plant)Let p be “It is cold” and let q be “It is raining”. Give a simple verbal sentence which describes each of the following statements: a) ~p b) p ∧ q c) p ∨ qChoose the Correct statement For light, we can call white a tertiary color because RED + BLUE + GREEN = WHITE. For light, we can call white a tertiary color because GREEN + MAGENTA = WHITE. We cannot call white a tertiary color. For light, we can call white a tertiary color because YELLOW + MAGENTA + CYAN = WHITE.
- a. If A is true and B is false, what truth value would you assign to A ^ B?b. If A is false and B is true, what truth value would you assign to A ^ B?c. If A and B are both false, what truth value would you assign to A ^ B?Write the statement in words if: p: Firemen work hard. q: Firemen wear red suspenders 3) ~p → qLet a, b, c denote the statements: "It is raining", "It is humid", "It is sunny". Represent the following statement with propositional logic: "It is not raining, and it is humid, and it is not sunny." Group of answer choices A) ¬a ∧ b ∧ ¬c B) a ∧ b ∧ ¬c C) a ∧ b ∧ c D) a ∧ ¬b ∧ ¬c