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Shortcut Tricks: Inequalities & Absolute Video Lecture | Quantitative for GMAT

FAQs on Shortcut Tricks: Inequalities & Absolute Video Lecture - Quantitative for GMAT

1. What is an absolute value equation?

Ans.An absolute value equation is an equation in which a variable is inside an absolute value expression. It typically takes the form |x| = a, where x is the variable and a is a non-negative number. The absolute value represents the distance of a number from zero on the number line, regardless of direction.

2. How do you solve absolute value equations?

Ans.To solve absolute value equations, you first isolate the absolute value expression. Then, create two separate equations based on the definition of absolute value: one where the expression is equal to a positive value and another where it is equal to the negative of that value. Finally, solve both equations for the variable.

3. What are some common mistakes to avoid when solving absolute value equations?

Ans.Common mistakes include forgetting to consider both the positive and negative scenarios when setting up the equations, incorrectly isolating the absolute value expression, and failing to check for extraneous solutions that may arise from squaring both sides of an equation.

4. Can an absolute value equation have no solution?

Ans.Yes, an absolute value equation can have no solution. This occurs when the equation sets the absolute value equal to a negative number, as absolute values cannot be negative. For example, the equation |x| = -3 has no solution.

5. Are there any applications of absolute value equations in real life?

Ans.Absolute value equations are used in various real-life situations, such as calculating distances, analyzing data variations, and solving problems involving real-world constraints. For instance, they can help determine how far a temperature is from freezing, regardless of whether it is above or below zero.

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Oct 02, 2025 Last updated

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Video Description: Shortcut Tricks: Inequalities & Absolute for GMAT 2025 is part of Quantitative for GMAT preparation. The notes and questions for Shortcut Tricks: Inequalities & Absolute have been prepared according to the GMAT exam syllabus. Information about Shortcut Tricks: Inequalities & Absolute covers all important topics for GMAT 2025 Exam. Find important definitions, questions, notes, meanings, examples, exercises and tests below for Shortcut Tricks: Inequalities & Absolute.

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	Quantitative for GMAT 121 videos\|148 docs\|111 tests

Quantitative for GMAT

121 videos|148 docs|111 tests

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