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------------------------------------------------ Write a compound inequality with \( x \) as the variable that represents the range of depths in the Abyssopelagic ecosystem, which consists of sea creatures found at depths between 4000 and 6000 meters.

Answer :

A compound inequality with x as the variable that represents this range is [tex]4000 \leq x \leq 6000[/tex].

To define the variable [tex]x[/tex] as the depth in meters. The abyssopelagic zone consists of depths between 4,000 meters and 6,000 meters. Therefore, we can express this range with the following compound inequality:

[tex]4000 \leq x \leq 6000[/tex]

This inequality means that [tex]x[/tex] can be any value starting from 4,000 meters (inclusive) up to 6,000 meters (inclusive). This range covers all depths in the abyssopelagic zone.

The depths are defined as:

  • The minimum depth is 4,000 meters.
  • The maximum depth is 6,000 meters.

This formulation helps to understand where particular sea creatures that inhabit the abyssopelagic ecosystem are located within the vast depths of the ocean.

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