The life zones on Mount Rainier, a mountain in Washington, can be approximately classified by elevation, as follows.

Low-elevation forest: above 1700 feet to 2500 feet
Mid-elevation forest: above 2500 feet to 4000 feet
Subalpine: above 4000 feet to 6500 feet
Alpine: above 6500 feet to the summit



Write a compound inequality that represents the elevation range h for each type of plant life.
a. trees in the low-elevation forest zone:

b. flowers in the subalpine and alpine zones:

Respuesta :

The compound inequalities that model the situations are:

a) [tex]1700 < h \leq 2500[/tex]

b) [tex]4000 < h \leq 14409[/tex]

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  • An inequality is compounded if it includes two terms, for example:

[tex]a \leq x \leq b[/tex]

  • Which is read as: x is at least a and x is at most b.

Item a:

  • Low-elevation forests are above 1700 feet and at most 2500 feet, thus:
  • The variable is the height h.

[tex]1700 < h \leq 2500[/tex]

Item b:

  • Subalpine and alpine are above 4000 feet to the summit.
  • The summit of Mt. Rainier is of 14409 ft.
  • Thus, the inequality is:

[tex]4000 < h \leq 14409[/tex]

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