Use the facts that the negation of a ∀ statement is a ∃ statement and that the negation of an if-then statement is an and statem

Question

3 years ago

9

Use the facts that the negation of a ∀ statement is a ∃ statement and that the negation of an if-then statement is an and statem

ent to rewrite the statement without using the words necessary or sufficient. Having a large income is not a necessary condition for a person to be happy.

Mathematics

1 answer:

marin [14] · Answer 1 · 2022-03-22T12:30:15+03:00

Answer:

it`s not true that for every person, if the person is happy, the person has a large income/there are people that are happy and doesn't have large incomes

Step-by-step explanation:

let be x the group of people in the world

let be I(X)=x has a large income

let be H(x)=x is happy

Having a large income is not a necessary condition for a person to be happy.

¬∀x, H(x)-->I(x)

<em>it`s not true that for every person, if the person is happy, the person has a large income</em>

∃x / H(x)^¬I(x)

<em>there are people that are happy and doesn't have large incomes</em>