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

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2) Choose from the following to describe what kind of sentence this is: "It was blue with white stripes."

True

False

Open

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.

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.

3) Which of the following is an example of an open sentence?

Murrow high school has an auditorium.

Tallahassee is a city in New York.

Thanksgiving is a holiday in November.

It is a fraction.

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.

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.

4) Given the open sentence: 3x - 7 = 11 Which value of x would be in the "solution set?"

X = 6 x = 6

X = -6

X = 18

X = 10

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.

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.

5) True or False. The following is a mathematical sentence "If Patrick leaps"

True

False

not-available-via-ai

Explanation

not-available-via-ai

6) 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

not-available-via-ai

Explanation

not-available-via-ai

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7) Is the following true, false or open? If it is open, identify the variable. The Q train runs only in Queens.

True

False

Open; The

Open; only

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.

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.

8) CHECK ALL THAT MAY APPLY to describe the following sentence (COULD BE MORE THAN ONE ANSWER) "5(20) + 3 = 103"

Closed

Open

True

False

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.

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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9) Use the replacement set {1, «math xmlns=¨https://www.w3.org/1998/Math/MathML¨»«mi»§#960;«/mi»«/math»