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Absolute value inequalities Gina Wilson

A. Always have a unique solution
B. May have no solution
C. Have exactly two solutions
D. Always have an infinite number of solutions

User TheFrack
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1 Answer

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Final answer:

Absolute value inequalities may have no solution or an infinite number of solutions within a specific interval, making it incorrect to say they always have a unique or exactly two solutions. Hence, all the options are correct.

Step-by-step explanation:

In mathematics, absolute value inequalities such as those introduced by Gina Wilson can indeed have a variety of different solutions. Unlike simple equations, inequalities do not always have a single solution. When you square an unknown, you typically expect two solutions, but this isn't the case with inequalities.

For example, when we check real roots of physical data in quadratic equations, often only the positive values are significant, which may imply a single solution. In contrast, an absolute value inequality could have an entire range of solutions, or on some rare occasions, no solutions at all depending on the constraints provided.

The correct answer to the question would be that absolute value inequalities may have no solution or one or more solutions, essentially an infinite number of solutions within a given interval.

User NKeddie
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