Respuesta :
Using an absolute value inequality, it is found that the maximum height is of 90 pounds, that is:
[tex]W \leq 90[/tex]
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- The absolute value of a point or function is its distance to the origin.
- That is, for example:
[tex]|x| \leq a[/tex] means that:
[tex]-a \leq x \leq a[/tex]
- The recommended weight is of 80 pounds, with an allowance of at most 10 pounds. Thus, the absolute value of the weight W and the 80 must be at most 80, that is:
[tex]|W - 80| \leq 10[/tex]
Solving the inequality:
[tex]-10 \leq W - 80 \leq 10[/tex]
[tex]W - 80 \geq -10[/tex]
[tex]W \geq 70[/tex]
[tex]W - 80 \leq 10[/tex]
[tex]W \leq 90[/tex]
Thus, the minimum height is 70 pounds and the maximum height is 90 pounds.
Thus, the inequality representing the maximum height is:
[tex]W \leq 90[/tex]
A similar problem is given at https://brainly.com/question/24514895
