Let F(x, y) be the predicate that indicates if x and y are friends, with the domain of people. Which of the following statements in predicate logic expresses the statement that

"Every pair of friends has a friend in common"?

(only one correct answer)

a.∀x ∀y [ F(x, y) → ∀z ( (y ≠ z) ∧(x ≠ z) ∧ (F(x, z) ⋁ F(y, z)) ) ]
b.∀x ∀y [ F(x, y) → ∃z ( (y ≠ z) ∧ (x ≠ z) ∧ F(x, z) ∧ F(y, z) ) ]
c.∀x ∀y [ F(x, y) → ∃z ( (y ≠ z) ∧(x ≠ z) ∧ (F(x, z) ⋁ F(y, z)) ) ]

2? if not the correct answer you might need to provide more information

step-by-step explanation:

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

eventually after a few more steps, your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x

d. it is a convex pentagon because it has five sides and none of the sides would extend into the inside of the polygon.

step-by-step explanation:

from the sentence, "tomorrow morning, akiko will arrive an hour late" depicts a third person perspective because it doesn't use any pronoun to replace akiko, the subject of the sentence, and it is in singular form since akiko is only one person.