Question

For each question, use the following statements to write the compound statement anddetermine its truth value.P: Perpendicular lines intersect to form right angles.Q: All eagles are bald eagles.R: The capital of Texas is Houston.S: Congruent segments have equal length.Write the compound statement and determine its truth value: P V RPerpendicular lines intersect to form right angles or the capital of Texas is Houston; truePerpendicular lines intersect to form right angles and the capital of Texas is Houston; falsePerpendicular lines intersect to form right angles and the capital of Texas is Houston: truePerpendicular lines intersect to form right angles or the capital of Texas is Houston; false

Answer 1

P: Perpendicular lines intersect to form right angles = True = T

Q: All eagles are bald eagles = False = F

R: The capital of Texas is Houston = False = F

S: Congruent segments have equal length = True = T

p | q | p ν q

T T T

T F T

F T T

F F F

P ν R = T ν F = T

--------------------------------------

p | q | p Λ q

T T T

T F F

F T F

F F F

P Λ R = T Λ F = F

-------------------------------------