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Modulus: Algebra Video Lecture | Crash Course for CAT

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FAQs on Modulus: Algebra Video Lecture - Crash Course for CAT

1. What are the key concepts related to modulus in algebra?
Ans. The key concepts related to modulus in algebra include absolute value, modulus function, properties of modulus, solving equations involving modulus, and inequalities with modulus.
2. How is the modulus function defined in algebra?
Ans. The modulus function in algebra is defined as a function that returns the absolute value of a real number. For example, the modulus function of -5 is 5, and the modulus function of 3 is also 3.
3. How do you solve equations involving modulus in algebra?
Ans. To solve equations involving modulus in algebra, you need to consider the cases when the expression inside the modulus is positive or negative. Then, you can solve the resulting equations separately and check for extraneous solutions.
4. What are the properties of modulus in algebra?
Ans. The properties of modulus in algebra include non-negativity (|a| ≥ 0 for any real number a), |ab| = |a||b|, and |a + b| ≤ |a| + |b| for any real numbers a and b.
5. How do you graph functions involving modulus in algebra?
Ans. To graph functions involving modulus in algebra, you can break down the function into different cases based on the sign of the expression inside the modulus. Then, you can graph each case separately and combine them to get the overall graph.
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