Use the facts that the negation of a ∀ statement is a ∃ statement and that the negation of an if-then statement is an and statement 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.
Accepted Solution
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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 incomesStep-by-step explanation:let be x the group of people in the worldlet be I(X)=x has a large incomelet be H(x)=x is happyHaving a large income is not a necessary condition for a person to be happy.¬∀x, H(x)-->I(x)it`s not true that for every person, if the person is happy, the person has a large income∃x / H(x)^¬I(x)there are people that are happy and doesn't have large incomes