The slot size limit for Fish A is from 28 to 32 inches. The minimum size limit for Fish B is 11 inches. Write the ranges of Fish A and Fish B in interval notation and in set-builder notation. Does the range for the Fish B seem reasonable? Explain.

Notations are used to specify the range of a function. The range of fish A is [28,32] while the range of fish B is [11,infinity).

Also, the range of fish B is not reasonable.

For fish A, we have:

For Fish B, we have:

For fish A, the minimum and the maximum are inclusive. So, the range is:

This gives:

For fish B, the minimum is known (and inclusive). The maximum is not known, so we represent the maximum with infinity.

So, the range is:

The range of fish B is not reasonable because there is a limit to the size of fish a slot can take.

Read more about interval notation at:

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