# Geometry- Logic Quiz#1- Sentences, Truth Values, Negations (Fa)

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| By Jrivers
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Jrivers
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Quizzes Created: 2 | Total Attempts: 458
Questions: 10 | Attempts: 187

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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.

• 1.

• 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.

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.

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• 3.

• A.

True

• B.

False

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

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

B. False
Explanation
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.

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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

A. X = 6 x = 6
Explanation
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.

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• 7.

{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

C. Open
Explanation
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.

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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

A. Closed
C. True
Explanation
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.

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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 { , }

{2,4}
(2,4)
2, 4
2 and 4
2,4
{2, 4}
(2, 4)

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• Current Version
• May 06, 2024
Quiz Edited by
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• Sep 08, 2011
Quiz Created by
Jrivers

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