Use the following statements to write a compound statement for the conjunction or disjunction. Then find its truth value.p: An isosceles triangle has two congruent sides.q: A right angle measures 90°.r: Four points are always coplanar.s: A decagon has 12 sides.(q∧r) ∨sa. A right angle measures 90° or four points are always coplanar, and a decagon has 12 sides; false.b. A right angle measures 90° and four points are always coplanar, or a decagon has 12 sides; false.c. A right angle measures 90° and four points are always coplanar, or a decagon has 12 sides; true.d. A right angle measures 90° or four points are always coplanar, and a decagon has 12 sides; true.
Accepted Solution
A:
Answer: b. A right angle measures 90° and four points are always coplanar, or a decagon has 12 sides; false.Step-by-step explanation: ∧ = "and" ∨ = "or"So, the symbols translate to (q∧r)∨s = (A right angle measures 90° ∧ Four points are always coplanar) ∨ A decagon has 12 sidesThis matches the wording of choices B and C.__The truth values are ...A right angle measures 90° -- trueFour points are always coplanar) -- false A decagon has 12 sides -- falseso the expression evaluates to (true ∧ false) ∨ false = false ∨ false = false . . . matches choice B