Exam 2: Introduction to Logic and Sets

Letting r stand for "The food is good," p stand for "I eat too much," and q stand for "I'll exercise," write the following in symbolic form. -If I exercise, then the food won't be good and I won't eat too much.

(Multiple Choice)

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Question 121

Use a quantifier to make the following true or false, as indicated, where x is a natural number. -x + x = 6 (make true)

(Multiple Choice)

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Question 122

Write in if-then form. - $x = 9 \text { if } 2 x + 9 = 27 \text {. }$

(Multiple Choice)

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Question 123

Determine whether the following is a statement. If it is, then also classify the statement as true or false. -Brazil is in Asia.

(Multiple Choice)

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Question 124

Solve the problem. -A restaurant offers 7 entrees and 11 desserts. In how many ways can a person order a two-course meal?

(Multiple Choice)

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Question 125

Write in if-then form. -I won't go until it's 7 pm.

(Multiple Choice)

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Question 126

Provide an appropriate response. -Given that $n ( P ) = 10$ and $P \subset Q$ , what is the least number of elements that set $Q$ can have? Is there a maximum limit on the number of elements that set $Q$ can have?

(Short Answer)

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Question 127

Provide an appropriate response. - $P = \{ a , b , c , d , e , f \} \text {. How many subsets of the set } P \text { can be made? }$

(Short Answer)

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Question 128

Write a valid conclusion based on the statements. -If I get robbed, I will go to court. I got robbed.

(Multiple Choice)

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Question 129

Rewrite the statement using mathematical symbols. -The set A with elements Indiana and Minnesota is not equal to the set B with elements Kansas and Virginia.

(Multiple Choice)

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Question 130

Write the set as indicated. -List the whole numbers between 1 and 5.

(Multiple Choice)

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Question 131

Is it possible or not possible to set up a one-to-one correspondence between {Mon, Tue, Wed} and {Oct, Nov, Dec}?

(Multiple Choice)

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Question 132

Write in if-then form. -Showing up at the party is enough to get a door prize.

(Multiple Choice)

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Question 133

Solve the problem. -How many ways are there to arrange 6 unique CD's in order along a shelf?

(Multiple Choice)

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Question 134

Use a quantifier to make the following true or false, as indicated, where x is a natural number. -x³ = 8 (make true)

(Multiple Choice)

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Question 135

Write a valid conclusion based on the statements. -Students who watch television while doing homework jeopardize their grades. Students with grades in jeopardy get grounded. Being grounded includes being barred from watching television.

(Multiple Choice)

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Question 136

Construct a truth table for the statement. - $(t \wedge p) \vee(\sim t \wedge \sim p)$

(Multiple Choice)

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Question 137

Determine the validity of the argument. -Martians are green. Frogs are green. Therefore frogs are Martians.

(Multiple Choice)

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Question 138

Determine whether the following is a statement. If it is, then also classify the statement as true or false. -This room is big.

(Multiple Choice)

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Question 139

Write a statement that represents the relationship between the following. - $P = \{ 9,11,13,15,17 \}$ and $Q = \{ 2,4,6,8,10 \}$

(Multiple Choice)

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Question 140

Letting r stand for "The food is good," p stand for "I eat too much," and q stand for "I'll exercise," write the following in symbolic form. -If I exercise, then the food won't be good and I won't eat too much.

Use a quantifier to make the following true or false, as indicated, where x is a natural number. -x + x = 6 (make true)

Write in if-then form. - $x = 9 \text { if } 2 x + 9 = 27 \text {. }$

Determine whether the following is a statement. If it is, then also classify the statement as true or false. -Brazil is in Asia.

Solve the problem. -A restaurant offers 7 entrees and 11 desserts. In how many ways can a person order a two-course meal?

Write in if-then form. -I won't go until it's 7 pm.

Provide an appropriate response. -Given that $n ( P ) = 10$ and $P \subset Q$ , what is the least number of elements that set $Q$ can have? Is there a maximum limit on the number of elements that set $Q$ can have?

Provide an appropriate response. - $P = \{ a , b , c , d , e , f \} \text {. How many subsets of the set } P \text { can be made? }$

Write a valid conclusion based on the statements. -If I get robbed, I will go to court. I got robbed.

Rewrite the statement using mathematical symbols. -The set A with elements Indiana and Minnesota is not equal to the set B with elements Kansas and Virginia.

Write the set as indicated. -List the whole numbers between 1 and 5.

Is it possible or not possible to set up a one-to-one correspondence between {Mon, Tue, Wed} and {Oct, Nov, Dec}?

Write in if-then form. -Showing up at the party is enough to get a door prize.

Solve the problem. -How many ways are there to arrange 6 unique CD's in order along a shelf?

Use a quantifier to make the following true or false, as indicated, where x is a natural number. -x³ = 8 (make true)

Write a valid conclusion based on the statements. -Students who watch television while doing homework jeopardize their grades. Students with grades in jeopardy get grounded. Being grounded includes being barred from watching television.

Construct a truth table for the statement. - $(t \wedge p) \vee(\sim t \wedge \sim p)$

Determine the validity of the argument. -Martians are green. Frogs are green. Therefore frogs are Martians.

Determine whether the following is a statement. If it is, then also classify the statement as true or false. -This room is big.

Write a statement that represents the relationship between the following. - $P = \{ 9,11,13,15,17 \}$ and $Q = \{ 2,4,6,8,10 \}$

An Introduction to Problem Solving

Numeration Systems and Whole Number Operations

Number Theory

Integers

Rational Numbers and Proportional Reasoning

Rational Numbers As Decimals and Percents

Real Numbers and Algebraic Thinking

Probability

Data Analysisstatistics: an Introduction

Introductory Geometry

Congruence and Similarity With Constructions

Congruence and Similarity With Transformations

Area, Pythagorean Theorem, and Volume

Filters

Exam 2: Introduction to Logic and Sets

Letting r stand for "The food is good," p stand for "I eat too much," and q stand for "I'll exercise," write the following in symbolic form. -If I exercise, then the food won't be good and I won't eat too much.

Use a quantifier to make the following true or false, as indicated, where x is a natural number. -x + x = 6 (make true)

Write in if-then form. - x=9 if 2x+9=27. x = 9 \text { if } 2 x + 9 = 27 \text {. }x=9 if 2x+9=27.

Determine whether the following is a statement. If it is, then also classify the statement as true or false. -Brazil is in Asia.

Solve the problem. -A restaurant offers 7 entrees and 11 desserts. In how many ways can a person order a two-course meal?

Write in if-then form. -I won't go until it's 7 pm.

Provide an appropriate response. -Given that n(P)=10n ( P ) = 10n(P)=10 and P⊂QP \subset QP⊂Q , what is the least number of elements that set QQQ can have? Is there a maximum limit on the number of elements that set QQQ can have?

Provide an appropriate response. - P={a,b,c,d,e,f}. How many subsets of the set P can be made? P = \{ a , b , c , d , e , f \} \text {. How many subsets of the set } P \text { can be made? }P={a,b,c,d,e,f}. How many subsets of the set P can be made?

Write a valid conclusion based on the statements. -If I get robbed, I will go to court. I got robbed.

Rewrite the statement using mathematical symbols. -The set A with elements Indiana and Minnesota is not equal to the set B with elements Kansas and Virginia.

Write the set as indicated. -List the whole numbers between 1 and 5.

Is it possible or not possible to set up a one-to-one correspondence between {Mon, Tue, Wed} and {Oct, Nov, Dec}?

Write in if-then form. -Showing up at the party is enough to get a door prize.

Solve the problem. -How many ways are there to arrange 6 unique CD's in order along a shelf?

Use a quantifier to make the following true or false, as indicated, where x is a natural number. -x3 = 8 (make true)

Write a valid conclusion based on the statements. -Students who watch television while doing homework jeopardize their grades. Students with grades in jeopardy get grounded. Being grounded includes being barred from watching television.

Construct a truth table for the statement. - (t∧p)∨(∼t∧∼p) (t \wedge p) \vee(\sim t \wedge \sim p) (t∧p)∨(∼t∧∼p)

Determine the validity of the argument. -Martians are green. Frogs are green. Therefore frogs are Martians.

Determine whether the following is a statement. If it is, then also classify the statement as true or false. -This room is big.

Write a statement that represents the relationship between the following. - P={9,11,13,15,17}P = \{ 9,11,13,15,17 \}P={9,11,13,15,17} and Q={2,4,6,8,10}Q = \{ 2,4,6,8,10 \}Q={2,4,6,8,10}

An Introduction to Problem Solving

Numeration Systems and Whole Number Operations

Number Theory

Integers

Rational Numbers and Proportional Reasoning

Rational Numbers As Decimals and Percents

Real Numbers and Algebraic Thinking

Probability

Data Analysisstatistics: an Introduction

Introductory Geometry

Congruence and Similarity With Constructions

Congruence and Similarity With Transformations

Area, Pythagorean Theorem, and Volume

Filters

Write in if-then form. - $x = 9 \text { if } 2 x + 9 = 27 \text {. }$

Provide an appropriate response. -Given that $n ( P ) = 10$ and $P \subset Q$ , what is the least number of elements that set $Q$ can have? Is there a maximum limit on the number of elements that set $Q$ can have?

Provide an appropriate response. - $P = \{ a , b , c , d , e , f \} \text {. How many subsets of the set } P \text { can be made? }$

Use a quantifier to make the following true or false, as indicated, where x is a natural number. -x³ = 8 (make true)

Construct a truth table for the statement. - $(t \wedge p) \vee(\sim t \wedge \sim p)$

Write a statement that represents the relationship between the following. - $P = \{ 9,11,13,15,17 \}$ and $Q = \{ 2,4,6,8,10 \}$