2-2 Logic Check - HRW

Use the following statements to write a compound statement for each conjunction or disjunction. Then find its truth value.

p: 12 + (–4) = 8

q: A right angle measures 90 degrees.

r : A triangle has four sides.

p and r

• 12+(-4) =8 and a triangle has 4 sides.

• The compound statement is false.

• The compound statement is true.

• Can't tell what this means.

Use the following statements to write a compound statement for each conjunction or disjunction. Then find its truth value.

p: 12 + (–4) = 8

q: A right angle measures 90 degrees.

r : A triangle has four sides.

q or r

• A right angle measures 90 degrees or a triangle has 4 sides.

• The compound statement is false.

• The compound statement is true.

• Can't tell what this means.

Use the following statements to write a compound statement for each conjunction or disjunction. Then find its truth value.

p: 12 + (–4) = 8

q: A right angle measures 90 degrees.

r : A triangle has four sides.

~p or r

• 12 + (–4) ≠ 8 or a triangle has 4 sides.

• The compound statement is false.

• The compound statement is true.

• Can't tell what this means.

Use the following statements to write a compound statement for each conjunction or disjunction. Then find its truth value.

p: 12 + (–4) = 8

q: A right angle measures 90 degrees.

r : A triangle has four sides.

q and ~r

• A right angle measures 90 degrees and a triangle doesn't have 4 sides.

• The compound statement is false.

• The compound statement is true.

• Can't tell what this means.

Use the following statements to write a compound statement for each conjunction or disjunction. Then find its truth value.

p: 12 + (–4) = 8

q: A right angle measures 90 degrees.

r : A triangle has four sides.

~p or ~q

• 12 + (–4) ≠ 8 or a right angle doesn't measure 90 degrees.

• The compound statement is false.

• The compound statement is true.

• Can't tell what this means.

Consider two statements a and b. Given that statement a is true, which of the following statements must also be true?

• a or b

• a and b

• ~a

• ~b