High School

Write a compound inequality with [tex]a[/tex] as the variable that represents the range of the Abyssopelagic ecosystem, which consists of all sea creatures found in the ocean at depths between 4000 and 6000 meters.

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

Answer :

Final answer:

A compound inequality can be used to represent the range of depths for the Abyssopelagic ecosystem. It can be written as 4000 < a < 6000, indicating that a is between 4000 and 6000 meters. This shows all the possible depths where these creatures inhabit the ocean.


Explanation:

Understanding Compound Inequalities

A compound inequality allows us to express a range of values using two inequalities combined by the word 'and.' In this case, we want to represent the depth range of the Abyssopelagic ecosystem, which lies between 4000 and 6000 meters.

To write a compound inequality representing this range using the variable a, we can state:

4000 < a < 6000

This means that a represents a value that is greater than 4000 and less than 6000, effectively capturing all depths where sea creatures of the Abyssopelagic zone can be found.

Example of Compound Inequality

If we take an example where a creature is found at a depth of 4500 meters, we can see that:

  • It satisfies the inequality because 4000 < 4500 < 6000.

Thus, a can take any value within this range, showing the diversity of life existing at these profound depths.


Learn more about compound inequality here:

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