are the two statements same A=5, A==5
Answers
Answer:
No, both statement are not same
Answer:
Complete truth tables for ┐(P∧Q) and ┐P∨┐Q .
Are the expressions ┐(P∧Q) and ┐P∨┐Q logically equivalent?
Suppose that the statement “I will play golf and I will mow the lawn” is false. Then its negation is true. Write the negation of this statement in the form of a disjunction. Does this make sense?
Sometimes we actually use logical reasoning in our everyday living! Perhaps you can imagine a parent making the following two statements:
Statement 1. If you do not clean your room, then you cannot watch TV.
Statement 2. You clean your room or you cannot watch TV.
Let P be “you do not clean your room,” and let Q be “you cannot watch TV.” Use these to translate Statement 1 and Statement 2 into symbolic forms.
Construct a truth table for each of the expressions you determined in Part(4). Are the expressions logically equivalent?
Assume that Statement 1 and Statement 2 are false. In this case, what is the truth value of P and what is the truth value of Q ? Now, write a true statement in symbolic form that is a conjunction and involves P and Q .
Write a truth table for the (conjunction) statement in Part (6) and compare it to a truth table for ┐(P→Q) . What do you observe?
Explanation:
Complete truth tables for ┐(P∧Q) and ┐P∨┐Q .
Are the expressions ┐(P∧Q) and ┐P∨┐Q logically equivalent?
Suppose that the statement “I will play golf and I will mow the lawn” is false. Then its negation is true. Write the negation of this statement in the form of a disjunction. Does this make sense?
Sometimes we actually use logical reasoning in our everyday living! Perhaps you can imagine a parent making the following two statements:
Statement 1. If you do not clean your room, then you cannot watch TV.
Statement 2. You clean your room or you cannot watch TV.
Let P be “you do not clean your room,” and let Q be “you cannot watch TV.” Use these to translate Statement 1 and Statement 2 into symbolic forms.
Construct a truth table for each of the expressions you determined in Part(4). Are the expressions logically equivalent?
Assume that Statement 1 and Statement 2 are false. In this case, what is the truth value of P and what is the truth value of Q ? Now, write a true statement in symbolic form that is a conjunction and involves P and Q .
Write a truth table for the (conjunction) statement in Part (6) and compare it to a truth table for ┐(P→Q) . What do you observe?
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