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QuestionFind the size limits for Fish AA as [28,32][28, 32] and for Fish BB as [11,∞)[11, \infty) in interval and set-builder notation.

Studdy Solution

STEP 1

Assumptions1. The slot size limit for Fish A is from28 to32 inches. . The minimum size limit for Fish B is11 inches.

STEP 2

First, we write the range of Fish A in interval notation. Interval notation is a method of writing down a set of numbers. In this case, the set of numbers will be all the numbers between28 and32, inclusive.
Fish A=[28,32]Fish\, A = [28,32]

STEP 3

Next, we write the range of Fish B in interval notation. Since there is only a minimum size limit for Fish B, the set of numbers will be all the numbers greater than or equal to11.
Fish B=[11,∞)Fish\, B = [11, \infty)

STEP 4

Now, we write the range of Fish A in set-builder notation. Set-builder notation is another way of specifying a set of numbers, often using a condition to describe the set. In this case, the set is all numbers x such that28 <= x <=32.
Fish A={x∣28≤x≤32}Fish\, A = \{x |28 \leq x \leq32\}

STEP 5

Finally, we write the range of Fish B in set-builder notation. The set is all numbers x such that x >=11.
Fish B={x∣x≥11}Fish\, B = \{x | x \geq11\}So, the ranges of the Fish A and Fish B in interval notation are [28,32] and [11, ∞) respectively, and in set-builder notation are {x |28 ≤ x ≤32} and {x | x ≥11} respectively.

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