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find the value of the expression |x|/x id x=-8,-5,1,7,128 write the expression without the absolute value symbol for these values of x x>0

Respuesta :

Using the definition of the absolute value function, it is found that:

  • The result of the expression is of -1 for x = -8 and x = -5.
  • The result of the expression is of 1 for x = 1, x = 7 and x = 128.

What is the absolute value function?

It measures the distance of a point x to the origin, and is defined by:

[tex]|x| = -x, x < 0[/tex]

[tex]|x| = x, x \geq 0[/tex]

As for the expression used in this problem:

[tex]\frac{|x|}{x} = -\frac{x}{x} = -1, x < 0[/tex]

[tex]\frac{|x|}{x} = \frac{x}{x} = 1, x > 0[/tex]

Hence:

  • The result of the expression is of -1 for x = -8 and x = -5.
  • The result of the expression is of 1 for x = 1, x = 7 and x = 128.

More can be learned about the absolute value function at https://brainly.com/question/24734454

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