The fruity snack company is packaging fruit loop cereal in small snack bags each snack is to weigh 30 grams with a tolerance of 1.6grams 1. Write an absolute value inequality that describes the weight, in grams of the snack bags that will be rejected

2. Solve the inequality and give your answer in interval notation

9514 1404 393

Step-by-step explanation:

1. The snack bags will be rejected if their weight differs from 30 grams by more than 1.6 grams:

  |w -30| > 1.6

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2. This inequality resolves to two inequalities.

  w -30 > 1.6

  w > 31.6 . . . . . add 30

and

  -(w -30) > 1.6

  w -30 < -1.6 . . . multiply by -1

  w < 28.4 . . . . . add 30

The solution in interval notation is the union of the two disjoint intervals:

  (-∞, 28.4) U (31.6, ∞)

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step-by-step explanation:

answer

d. 10

explanation

the distance from point y to wx is the height of the triangle.

using pythagoras theorem,

group similar terms to get,

this implies that,

take positive square root of both sides to get,

this implies that,