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mathdad
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Can You Solve x|x+2|<5 by Subtracting 4?
- Context: MHB
- Thread starter mathdad
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Discussion Overview
The discussion revolves around solving the inequality x|x+2|<5, with a focus on the manipulation of terms involving absolute values and the implications of subtracting 4 from the expression. The scope includes mathematical reasoning and clarification of steps in solving inequalities.
Discussion Character
- Mathematical reasoning, Conceptual clarification
Main Points Raised
- Some participants express confusion regarding the manipulation of the inequality, particularly the introduction of the term -4 in the solution process.
- One participant points out a typo in the original formulation of the problem, suggesting that the correct expression should be |x + 2| < 5 without the x in front of the absolute value.
- Another participant confirms the correctness of the steps taken to transition from |x + 2| < 5 to the inequality involving x - 2, explaining that subtracting 4 is necessary to adjust the expression.
- There is a request for clarification on the origin of the number 4 in the context of the solution.
Areas of Agreement / Disagreement
Participants do not reach a consensus on the clarity of the solution steps, as some express confusion while others affirm the correctness of the approach. Multiple viewpoints regarding the manipulation of the inequality remain present.
Contextual Notes
There are unresolved questions regarding the initial formulation of the problem and the steps taken to derive the final inequalities, particularly concerning the introduction of the constant 4.
