Geometry- Logic Quiz#1- Sentences, Truth Values, Negations (Fa)
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This assignment counts as part of the formative assessment quiz grade (10% of final grade). You can ask to go over any problem you like in class. Please e-mail me with questions or problems that you have.
Questions and Answers
- 1.
Write a few sentences to describe the difference between the sentences: "Today is Monday," and "Today is not Monday" You MUST include the following VOCABULARY in your response: negation truth value
- 2.
Which of the following is an example of an open sentence?
- A.
Murrow high school has an auditorium.
- B.
Tallahassee is a city in New York.
- C.
Thanksgiving is a holiday in November.
- D.
It is a fraction.
Correct Answer
D. It is a fraction.Explanation
An open sentence is a statement that contains one or more variables and becomes a proposition when specific values are substituted for the variables. In the given options, "It is a fraction" is the only statement that contains a variable ("It") and can be true or false depending on the value assigned to the variable. The other options are complete statements that do not contain any variables.Rate this question:
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- 3.
True or False. The following is a mathematical sentence "If Patrick leaps"
- A.
True
- B.
False
Correct Answer
B. False -
- 4.
Let p: Summer follows spring q: August is a summer month. r: A year has 12 months s: She likes spring. Write a complete sentence in words to show what the following symbols represent AND tell the truth value in (parantheses) ~r
Correct Answer
A year does not have 12 months (False)
A year has not 12 months (False)
A year doesn't have 12 months (False)
A year not has 12 months (False)
It is not true that a year has 12 months (False) - 5.
Is the following true, false or open? If it is open, identify the variable. The Q train runs only in Queens.
- A.
True
- B.
False
- C.
Open; The
- D.
Open; only
Correct Answer
B. FalseExplanation
The statement "The Q train runs only in Queens" is false. This means that the Q train does not solely operate in Queens and also runs in other locations.Rate this question:
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- 6.
Given the open sentence: 3x - 7 = 11 Which value of x would be in the "solution set?"
- A.
X = 6 x = 6
- B.
X = -6
- C.
X = 18
- D.
X = 10
Correct Answer
A. X = 6 x = 6Explanation
The correct answer is x = 6 because when we substitute x = 6 into the open sentence 3x - 7 = 11, we get 3(6) - 7 = 18 - 7 = 11, which satisfies the equation.Rate this question:
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- 7.
Use the replacement set {1, , 0.5, -6, } to find the truth set of the open sentence "IT IS A RATIONAL NUMBER." Express your answers in the proper brackets { } separated by commas.
Correct Answer
{1, 0.5, -6}
{1,0.5,-6}
(1, 0.5, -6)
(1,0.5,-6)
1, 0.5, -6
1,0.5,-6 - 8.
Choose from the following to describe what kind of sentence this is: "It was blue with white stripes."
- A.
True
- B.
False
- C.
Open
Correct Answer
C. OpenExplanation
This sentence is an open sentence because it does not provide enough information to determine its type. It simply states a fact about something being blue with white stripes, but it does not express a complete thought or provide any additional context.Rate this question:
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- 9.
CHECK ALL THAT MAY APPLY to describe the following sentence (COULD BE MORE THAN ONE ANSWER) "5(20) + 3 = 103"
- A.
Closed
- B.
Open
- C.
True
- D.
False
Correct Answer(s)
A. Closed
C. TrueExplanation
The sentence "5(20) + 3 = 103" is closed because it is a complete statement with a clear subject (5(20) + 3) and a clear predicate (= 103). It is also true because when the equation is solved, it does indeed equal 103.Rate this question:
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- 10.
Use the domain {1, 2, 3, 4, 5} to find the solution set for the following open sentences. "It is an even number" Please put your answer in { , }
Correct Answer(s)
{2,4}
(2,4)
2, 4
2 and 4
2,4
{2, 4}
(2, 4)
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May 06, 2024Quiz Edited by
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Sep 08, 2011Quiz Created by
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