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

Mathematics

Jimenez

30 June, 03:31

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

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Answers (1)

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Maverick Rasmussen · 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