Pls answer all part 1.Suppose that Q(x) is the statement \"x + 1 = 2x.\" U is al
ID: 3143890 • Letter: P
Question
Pls answer all part
1.Suppose that Q(x) is the statement "x + 1 = 2x." U is all positive integers. Is the following true?
2. What is the truth value of (p q) (p q) when both p and q are false?
True
False
3. According to propositional logic, if we have "All cats have 9 lives" and "Vaida is a cat" Does it follow that "Vaida has 9 lives?"
True
False
4. What are the converse and contrapositive of the statement “If it is sunny, then I will go swimming”? (Select all that apply)
A. Converse: “If I do not go swimming, then it is not sunny.”
B. Contrapositive: “If I do not go swimming, then it is not sunny.”
C. Converse: "If I go swimming, then it is sunny."
D. Contrapositive: "If I go swimming, then it is sunny."
5. Which rule of inference is used in the propositional logic statement below:
If it rains, Josh will be sick.
Josh is not sick
____________________
It did not rain
__modus ponens
__modus tollens
__disjunctive syllogism
__hypothetical syllogism
Explanation / Answer
(According to chegg policy, only four questions will be answered. Please post the remaining in another question)
1. Q(x) : x + 1 = 2x
=> x = 1
a. x, Q(x) : False
b. x, Q(x) : True
2. p is false and q is false
=> (p v q) and (p ^ q) are both false
=> (p q) (p q) = false -> false
= true
3. All cats have 9 lives
Vaida is a cat
=> Vaida has 9 lives
The statement is true
4. If it is sunny, then I will go swimming”?
A. Converse: “If I do not go swimming, then it is not sunny.” -> This statement is false
B. Contrapositive: “If I do not go swimming, then it is not sunny.” -> This statement is true
C. Converse: "If I go swimming, then it is sunny." -> This statement is true
D. Contrapositive: "If I go swimming, then it is sunny." -> This statement is false
Thus the true statements are B and C.