Compound Statements

Question 1

Let p represent the statement "the car is blue” and q represent the statement "the car is spacious.” What is true of the conjunction p ∧ q? Check all that apply.The conjunction p ∧ q can be stated as “the car is blue and spacious.”The conjunction p ∧ q can be stated as “if the car is blue, then it is spacious.”The statement “the car is blue and spacious” is a compound statement.The statement “the car is spacious and blue” can be written symbolically as q ∧ p.p is the hypothesis.

Revolt · Accepted Answer

The conjunction p ∧ q can be stated as “the car is blue and spacious.”; The statement “the car is blue and spacious” is a compound statement.; The statement “the car is spacious and blue” can be written symbolically as q ∧ p.

Question 2

The number of respondents for which p ∨ q is true is .

Revolt · Accepted Answer

1450

Question 3

p ˅ q is true in colored regions.

Revolt · Accepted Answer

all the

Question 4

The number of respondents for which p ∧ q is true is .

Revolt · Accepted Answer

600; The number of respondents for which p ∧ q is true is .: 600; The number of respondents for which p ∨ q is true is .: 1450; p ˅ q is true in colored regions.: all the

Question 5

The case where p and q are true is given by the.

Revolt · Accepted Answer

first row; The case where p and q are true is given by the.: first row; Disjunction is true for all cases except when .: p and q are false; The third row means that when p is false and q is true, the disjunction is .: true

Question 6

Which statements are biconditional? Check all that apply.All triangles and rectangles are polygons.Sam bakes cookies or he bakes bread.If it is fashionable, then this store sells it.If the sun rises in the east, then it is morning, and if it is morning, the sun rises in the east.Victoria will play outside if and only if the weather is nice.

Revolt · Accepted Answer

If the sun rises in the east, then it is morning, and if it is morning, the sun rises in the east.; Victoria will play outside if and only if the weather is nice.

Question 7

If p ↔ q is true, which compound statement has the same truth value?

Revolt · Accepted Answer

p → q is true and q → p is true.

Question 8

Disjunction is true for all cases except when .

Revolt · Accepted Answer

p and q are false

Question 9

The third row means that when p is false and q is true, the disjunction is .

Revolt · Accepted Answer

true

Compound Statements Answers

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