Compound Statements Quiz

The truth table represents statements p, q, and r. **Shows table** Which statements are true for rows A and E? Select two options. A) p ↔ q B) q ↔ p C) q ↔ r D) r ↔ p E) r ↔ q

*NOT* A, C, and E Should be: A,C, and *D*

Let p: A number is greater than 25.Let q: A number is less than 35. If p ∧ q is true, then what could the number be? Select two options. A) 24 B) 28 C) 32 D) 36 E) 40

B and C

The truth table represents statements p, q, and r. **Shows chart** Which rows represent when (p ∧ q) ∨ (p ∧ r) is true? A and B A, B, and C B and E B, C, and E

B) A, B, and C

Let p ↔ q represent the statement "He is wearing a coat if and only if the temperature is below 30°F." Which represents p ∧ q? He is wearing a coat or the temperature is below 30°F. He is wearing a coat and the temperature is below 30°F. If he is wearing a coat, then the temperature is below 30°F. If he is not wearing a coat, then the temperature is not below 30°F.

B) He is wearing a coat and the temperature is below 30°F.

Which conjunction about whole numbers is true? The sum of two non-zero even numbers is even and less than the addends. The sum of two non-zero even numbers is even and greater than the addends. The difference of two non-zero even numbers is odd and less than the larger number. The difference of two non-zero even numbers is odd and greater than the larger number.

B) The sum of two non-zero even numbers is even and greater than the addends.

Let p: x < −3 Let q: x > 3 What is represented by p ∨ q? x < −3 and x > 3 x > 3 or x < −3 If x < −3, then x > 3 x < −3 if and only if x > 3

B) x > 3 or x < −3

The diagram represents responses to a survey that include statements p and q. **shows diagram of circles inside circles** Which statement is true? The number of responses for which p ∧ q is 20. The number of responses for which p ∨ q is 26. The number of responses for which p ∧ q is 46. The number of responses for which p ∨ q is 66

C) The number of responses for which p ∧ q is 46.

Let p: x = 4 Let q: y = −2 Which represents "If x = 4, then y = −2"? p ∨ q p ∧ q p → q p ↔ q

C) p → q

The diagram represents two statements: p and q. **Shows Vin Diagram** Which represents region B? p ∨ q p → q q ∧ p q → p

C) q ∧ p

Let p: The kitchen is clean. Let q: The bedroom is clean. Which statement is true if the kitchen is clean but the bedroom is not clean? If p is true, then q is true. Statement q is true if and only if p is true. Both p and q are true. Statement p or q is true.

D) Statement p or q is true.