Question

Which set of numbers best describes the possible values of x in the equation [x−1]=[x]?

a. All integer values of x
b. All real number values of x
c. Only negative values of x
d. Only non-integer values of x

Answer 1

The set of numbers that best describes the possible values of x in the equation [x−1]=[x] is all integer values of x.

Step-by-step explanation:

The set of numbers that best describes the possible values of x in the equation [x−1]=[x] is a. All integer values of x. This is because the equation [x−1]=[x] simplifies to x−1=x when using the properties of absolute value.

Solving this equation, we find that x can be any integer value since adding or subtracting 1 from x does not change its value.