ASK AN EXPERTConsider statements p and q.p: It is Wednesday.q: There are students in the gym.(a) Write each statement below in symbolic form using p and q.SymboicDescriptive formP.Statement 1: tr it is Wednesday, then there ane students in the gym.Statement 2: It is false tthat "there are no studentsin the gym or it isAepsaupam(b) Complete the touth table below. Use T for true and F for false.You may add more columns. But those added columns willnot be graded.Your answers from part (a) will fili in here.Statement 1: statement 2:ova 0-(c) Are Statement 1 and Statement 2 equivalent? why or why nat? Choose the best answer.Statement 1 and Statement 2 are equivalent. This is because the truth value ofStatement l is the same as the truth value of Statement 2 for each true-false,combination of p and q.Statement 1 and Statement 2 are equivalent. This is because the two statements aremade from p and q, and any two statements made ffrom.p and a are equivalent.Statement I and Statement 2 are not equivalent. This is because the twO statementsare different, and different statements cannot be equivalent.Statement I and Statement 2 are not equivalent. This is because the truth value ofO Statementl is different from the bruth walue of Statement 2 for at least one true-falsecombination of p and q.Keunt 1 and Statement 2 equivalent? Why or whynot? Choose the best answer. Statement 1 andce the truth value of O Statement 1 is the same as the truth value of Statement 2 foreach true-falseStatement 2 are equivalent. This is because the two statements are made from p and q, and any twotent. Statement 1 and Statement 2 are not equivalent. This is because the two statements are

We have given a statements , p : It is Wednesday. q : There are students in the gym. (a) We need…

Answered: Consider statements p and q. p: It is…

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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Let p,q, and r represent the following statement. p: I eat bananas q: I like ice cream r: I like to eat Write the following statements in its symbolic form. If I eat bananas, then I like ice cream or I do not like to eat.
Using the symbolic representations given below: p: You are a criminal.p: You are a criminal.q: You break the lawq: You break the law Express the following compound statements in symbolic form. Statement 1: You are a criminal only if you break the law.You are a criminal only if you break the law.A. ∼p→q∼�→�B. q→p�→�C. ∼q→p∼�→�D. p→q�→�E. q→∼p�→∼�F. p→∼q�→∼� Statement 2: If you are not a criminal, you do not break the law.If you are not a criminal, you do not break the law.A. q→∼p�→∼�B. p→∼q�→∼�C. ∼q→p∼�→�D. ∼p→∼q∼�→∼�E. ∼q→∼p∼�→∼�F. ∼p→q∼�→� FILL BLANK: Statement 2 is the ________ of Statement 1.A. contrapositiveB. inverseC. converse Statement 1 and Statement 2 are:A. equivalentB. not equivalent
Let p represent the simple statement "The temperature is above 80°," q represent "We finished working," and r represent "We go to the pool." Write the symbolic statement q r ^ p in words. Choose the correct answer below. O A. If we have finished working or we go to the pool, then the temperature is above 80°. O B. We have finished working if and only if we go to the pool or the temperature is above 80°. O C. We have finished working if and only if we go to the pool and the temperature is above 80°. O D. If we have finished working, then we go to the pool and the temperature is above 80°.
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
Let p and q represent the following statements. p: There are puppies in my room q: I am locked out of my house Which of the following is the English translation of the symbolic notation p∨q?
p: Kevin Durant will win the MVP award.q: The Lakers will win the NBA championship. Select the statement below that matches the following symbolic statement: ∼p∨q
Using the symbolic representations given below: p: You are a criminal.p: You are a criminal.q: You break the lawq: You break the law Express the following compound statements in symbolic form. Statement 1: You are a criminal only if you break the law.You are a criminal only if you break the law.A. ∼p→q∼�→�B. q→p�→�C. ∼q→p∼�→�D. p→q�→�E. q→∼p�→∼�F. p→∼q�→∼� Statement 2: If you are not a criminal, you do not break the law.If you are not a criminal, you do not break the law.A. q→∼p�→∼�B. p→∼q�→∼�C. ∼q→p∼�→�D. ∼p→∼q∼�→∼�E. ∼q→∼p∼�→∼�F. ∼p→q∼�→� FILL BLANK: Statement 2 is the ________ of Statement 1.A. contrapositiveB. inverseC. converse Statement 1 and Statement 2 are:A. equivalentB. not equivalent
Let p: you see lightning and q: you hear thunder. Write each of the following statements in symbolic notation: a. If you see lightning, then you hear thunder. b. If you hear thunder, then you see lightning.. c. If you don't see lightning, then you don't hear thunder. d. If you don't hear thunder, then you don't see lightning.. If you see lightning, then you hear thunder. If you hear thunder, then you see lightning If you don't see lightning, then you don't hear thunder If you don't hear thunder, then you don't see lightning 114 114 #p-q =q-p

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Consider statements p and q. p: It is Wednesday. (a) Write each statement below in symbolic form using p and q.