THK Topic 2 Review 3

Review - Activity 4

Multiple Choice

If p ∨ ~q is a false statement, which of the following statements has the same truth value?

• p ∨ q

• ~ p ∨ ~ q

• p ∧ q

• ~ p ∧ q

Multiple Choice

Which of the following statements are equal?

I. (p ∨ q ∨ r) ∨ (p ∧ q ∧ r)

II. (p ∨ q ∨ r) ∧ (p ∧ q ∧ r)

III. (p ∨ q) ∧ (p ∧ q ∧ r)

IV. (p ∨ q ∨ r) ∨ (p ∨ q ∨ r)

• Statement I and II are equal. Statement III and IV are equal.

• Statement I and III are equal. Statement II and IV are equal.

• Statement I, II and III are equal.

• Statement I and IV are equal. Statement II and III are equal.

Multiple Choice

Which of the following statements is a negation of "Paris is in France and London is in England."?

• Paris is not in France or London is in England.

• Paris is not in France and London is not in England.

• Paris is not in France or London is not in England.

• Paris is not in France and London is in England.

Multiple Choice

Which of the following statements is a negation of "7 is greater than 4 or 6 is less than 7."?

• 7 is not greater than 4 or 6 is not less than 7.

• 7 is not greater than 4 and 6 is not less than 7.

• 7 is greater than 4 or 6 is not less than 7.

• 7 is greater than 4 and 6 is less than 7.

Multiple Choice

Write in conditional form.

Hypothesis p: The measure of the angle is between 0° and 90°.

Conclusion q: The angle is acute.

• If the angle is acute, then its measure is between 0° and 90°.

• If the measure is between 0° and 90°, then it is acute.

Multiple Choice

Which of the following statements is equivalent to the condition that a polygon P be a square is that P = 4s?

• P is a square only if P = 4s.

• If P = 4s then P is a square.

• If P = 4s then P is not a square.

• If P ≠ 4s then P is a square

• If P is a square, then P = 4s.

Multiple Choice

Determine the truth value of the conditional statement.

If you divide an integer by another integer, the result is also an integer.

• True

• False

Multiple Select

Write the converse of the statement: “If a figure is a square then a figure is a rectangle.”

Determine whether it is true or false.

• If a figure is not a square, then it is not a rectangle.

• If a figure is not a rectangle, then it is not a square.

• If a figure is a rectangle, then it is a square.

• TRUE

• FALSE

Multiple Select

Write the inverse of the statement: “If a figure is a square then a figure is a rectangle.”

Determine whether it is true or false.

• If a figure is not a square, then it is not a rectangle.

• If a figure is not a rectangle, then it is not a square.

• If a figure is a rectangle, then it is a square.

• TRUE

• FALSE

Multiple Select

Write the contrapositive of the statement: “If a figure is a square then a figure is a rectangle.”

Determine whether it is true or false.

• If a figure is not a square, then it is not a rectangle.

• If a figure is not a rectangle, then it is not a square.

• If a figure is a rectangle, then it is a square.

• TRUE

• FALSE

Multiple Select

Write the contrapositive of the statement: “If a natural number is prime number, then it is not composite number.” Determine whether it is true or false.

• If a natural number is not a prime number, then it is a composite number.

• If a natural number is not composite number, then it is a prime number.

• If a natural number is composite number, then it is not a prime number.

• TRUE

• FALSE

Multiple Choice

What is the truth value of question 1?

• True

• False

Multiple Choice

What is the truth value of question 2?

• True

• False