Question

Need some assistance with the following problem.

Any equation or inequality with variables in it is a predicate in the domain of real numbers. For the following statement, tell whether the statement is true or false.

(3x)(x^2 − 4 = 1)

Answer 1

The provided statement
`\exists x(x^2-4=1)` is true in the domain of real number.

Explanation:

Consider the provided information.

Any equation or inequality with variables in it is a predicate in the domain of real numbers.

The provided statement is:

`\exists x(x^2-4=1)`

Here, we need to find the value of x for which the above statement is true.

Since the value of x can be any real number so we can select the value of x as √5

(√5)²-4=1

5-4=1

Which is true.

Thus, the provided statement
`\exists x(x^2-4=1)` is true.