Math Problem Statement
hey i have a math question; use logic to proof it; and say what kinds of logic you used; prove that for every a and b in the closed interval 1 and -1; that a+b/1+ab is also in the intervel 1 and -1
Solution
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Math Problem Analysis
Mathematical Concepts
Inequalities
Interval Arithmetic
Algebraic Manipulation
Formulas
Expression: (a + b) / (1 + ab)
Inequality: -1 ≤ (a + b) / (1 + ab) ≤ 1
Theorems
Properties of Inequalities
Interval Bound Analysis
Suitable Grade Level
Grades 10-12