In accordance with propositional logic, quantifier theory and definitions of simple and composite propositions, the negation of a implication has the following equivalence:

$\neg (\exists \,x\, (P(x) \implies Q(x))) \iff \forall \,x (\neg \,Q(x) \,\land \,P(x))$ (Correct choice: iii)

<h3>How to find the equivalent form of a proposition</h3>

Herein we have a composite proposition, that is, the union of monary and binary operators and simple propositions. According to propositional logic and quantifier theory, the negation of an implication is equivalent to:

$\neg (\exists \,x\, (P(x) \implies Q(x))) \iff \forall \,x (\neg \,Q(x) \,\land \,P(x))$

To learn more on propositions: brainly.com/question/14789062

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8 0

2 years ago

On his first three tests, Shaun scored 88, 98, and 79. What score must he get on his fourth test to have an average (mean) of 80

solniwko [45]

Answer:

Step-by-step explanation:

let score in fourth test=x

88+98+79+x=80×4

265+x=320

x=320-265=55

7 0

3 years ago

5) The scale of a map is 1 inch : 10 miles.

stich3 [128]

Answer:

Step-by-step explanation:

ur gay

3 0

3 years ago

Find AB, given that line AD is the perpendicular bisector of BC

astraxan [27]

Answer:

AB = 9

Step-by-step explanation:

The perpendicular bisector divides Δ ABC into 2 congruent triangles, that is

Δ ABD ≅ Δ ACD , then

AB = AC = 9

5 0

3 years ago