Question

The domain for variable x is the set of all real numbers. Select the statement that is false.

a. Vx(x² ≥0)
b. 3x(x/2>x)
c. 3x(x² = -1)
d. 3x(x² = 3)

Answer 1

The statement that is false is c. 3x(x² = -1), as there is no real number that satisfies this equation.

Step-by-step explanation:

The statement that is false is c. 3x(x² = -1).

To determine if a statement is false, we need to analyze the equation and see if it yields a logical result. In this case, the equation 3x(x² = -1) is stating that a number multiplied by itself squared is equal to -1.

However, squaring a number always results in a non-negative value, so there is no real number that satisfies this equation. Therefore, the statement is false.