Using the properties of absolute values, simplify the expression x*|x|, if it is known that:

x greater or equal to zero

x is less than zero

Question

Aarav Wagner

Mathematics

8 May, 15:58

Using the properties of absolute values, simplify the expression x*|x|, if it is known that:

x greater or equal to zero

x is less than zero

+4

Answers (1)

Know the Answer?

Aisha Mcclain · Answer 1

x ≥ 0: x|x| = x² x < 0: x|x| = - x²

Step-by-step explanation:

For x ≥ 0

|x| = x

so

x|x| = x (x) = x²

For x < 0

|x| = - x

so

x|x| = x (-x) = - x²

Using the properties of absolute values, simplify the expression x*|x|, if it is known that:x greater or equal to zerox is less than zero

Using the properties of absolute values, simplify the expression x*|x|, if it is known that:

x greater or equal to zero

x is less than zero