Answer:
Step-by-step explanation:
To write the informal negation to the statement.
Let us first consider a statement and what the negation of a statement is defined as.
A statement is any sentence that can be determined as true or false. A statement can be written as P(x) or Q(x) .
For example, P(x) = 'a' likes rices.
Q(x) = b is a Maths student.
A negation to a statement is the opposite to that statement.
The negation of a statement P(x) is written as ~P(x).
If P(x) is "I am a boy", then ~P(x) (not P(x)) is "I am not a boy"
The negation of “There are no simple solutions to life’s problems” is “There are simple solutions to life’s problems.”
To write the statement formally using quantifiers.
MATHEMATICAL QUANTIFIERS:
1. For all, denotes as ∀
2. There exists, denoted as ∃
Let us define a Domain and a Set. A Set is simply a collection of objects.
Let X be the set of all simple solutions to all problems.
∀ x ∈ X, x is not a solution to life's problems.
