Math Problem Statement
2/x+1>x-1/x+1
Solution
To solve the inequality:
we first need to combine like terms by getting everything over a common denominator.
Step 1: Combine like terms
The common denominator is , so we can rewrite the inequality as:
Simplify the right-hand side:
Now, we have:
Step 2: Cross-multiply and solve
Since the denominators are the same, we can compare the numerators directly:
Rearrange to form a quadratic inequality:
Step
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Math Problem Analysis
Mathematical Concepts
Inequalities
Rational Expressions
Quadratic Inequalities
Formulas
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Theorems
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Suitable Grade Level
Grades 10-12