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The inequality that describes the possible values of the expression is:
The expression is given by:
To find the lower bound, we try to see when the expression is negative, hence:
Applying cross multiplication and simplifying the 3's, we have that:
From the bounds given, this expression will never be true, at most they can be equal, when:
a = b = 4.
Hence the lower bound of values of the expression is of 0.
<h3>What is the upper bound of values of the expression?</h3>The expression is a subtraction, hence we want to maximize the first term and minimize the second.
Considering that the first term is direct proportional to b and inverse to a, and the second vice versa, we want to:
- Maximize b, hence b = 5.
- Minimize a, hence a = 4.
Then:
Hence the bounds are:
More can be learned about values of expressions at brainly.com/question/625174
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