IM: Official Question
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Inequality & Modulus: Level 3 1. If \(| |x| – 5 | = 3\), what is the sum of all possible values of \(x\)? 10 0 16 4 12 Check Solution (B): This nested absolute value unwraps in two stages. Case 1: \(|x| – 5 = 3 \implies |x| = 8 \implies x = 8\)…
Inequality & Modulus: Level 2 1. What is the only integer \(n\) such that \(2n + 5 > 15\) and \(3n < 20\)? 4 5 6 7 8 Check Solution (C): 1. Solve the first inequality: \(2n + 5 > 15 \implies 2n > 10 \implies n > 5\). 2. Solve the second inequality: \(3n…
Inequality & Modulus: Level 1 1. Which of the following is equivalent to the statement \( |x – 3| < 2 \)? \( x < 1 \) \( x > 5 \) \( 1 < x < 5 \) \( -1 < x < 5 \) \( x = 5 \) Check Solution (C): The...
Modulus & Inequality — Comprehensive Concept Explanation In algebra and analytical reasoning, Modulus (or Absolute Value) and Inequalities describe relationships between quantities involving magnitude, sign, and comparison. These concepts appear in GMAT, GRE, and quantitative aptitude reasoning questions requiring logical understanding of number behavior. I. Modulus (Absolute Value) The modulus or absolute value of a…
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