Respuesta :

Considering the definition of the absolute value function, the expression is written as -7m + 56.

What is the definition of the absolute value function?

The absolute value function is defined as follows:

  • [tex]|x| = x, x \geq 0[/tex].
  • [tex]|x| = -x, x < 0[/tex]

That is, where the expression is negative, it is multiplied by -1, while where it is not negative the expression is kept.

In this problem, the expression is:

|7m - 56|

For m < 8, we have that one example is m = 0:

7(0) - 56 = -56.

The expression is negative, hence the signal is changed, that is:

|7m - 56| = -(7m - 56) = -7m + 56.

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

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