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The weight of each fountain pen manufactured in a factory must be 10g with a tolerance of 2g. Pens that are not within the tolerated weight must be thrown away. Write an inequality that can be used to assess which pens are tolerable (w is the weight of the pen)?

Answer :

According to the information given, the absolute value inequality that can be used to assess which pens are tolerable is:

[tex]|w - 10| \leq 2[/tex]

The absolute value function measures the distance of a point to the origin, and is defined by:

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

The weight must be of 10g, with a tolerance of 2g, which means that the absolute value of the difference between the weight w and 10g must be of at most 2g, hence the inequality is:

[tex]|w - 10| \leq 2[/tex]

To learn more about absolute value inequalities, you can take a look at https://brainly.com/question/24005819

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