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How to solve Modulus Equation | IIT-JEE Main and Advanced | Algebra Booter
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Today I will teach you tips and Tricks to solve the given modulus equation Problem in simple and easy way. Learn How to prepare for IIT-JEE Advanced Fast ! Step by Step Tutorial by "MathZeroByZero"
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A modulus equation, also known as an absolute value equation, is an equation that involves the modulus or absolute value function. The modulus or absolute value of a number is its distance from zero on the number line and is denoted by vertical bars or double bars surrounding the number.
The general form of a modulus equation is:
|expression| = constant
To solve a modulus equation, you need to consider two cases: when the expression inside the modulus is positive and when it is negative. Let's go through an example to illustrate the process:
Example:
Solve the modulus equation: |2x + 3| = 7
Case 1: (2x + 3) is positive
If (2x + 3) is greater than or equal to zero, we can remove the modulus signs without changing the equation.
2x + 3 = 7
Solve for x:
2x = 7 - 3
2x = 4
x = 4/2
x = 2
Case 2: (2x + 3) is negative
If (2x + 3) is less than zero, we need to negate the expression inside the modulus.
-(2x + 3) = 7
Solve for x:
-2x - 3 = 7
-2x = 7 + 3
-2x = 10
x = 10/-2
x = -5
Therefore, the solutions to the modulus equation |2x + 3| = 7 are x = 2 and x = -5.
When solving modulus equations, it's essential to consider both cases and find all possible solutions.
About IIT- JEE Advanced
IIT-JEE Advanced is an entrance examination conducted in India for admission into the undergraduate programs offered by the Indian Institutes of Technology (IITs). It is considered one of the most prestigious engineering entrance exams in India. Here are some key points about IIT-JEE Advanced:
1. Eligibility: To be eligible for the IIT-JEE Advanced exam, candidates must first qualify in the JEE Main exam. Only the top 2,50,000 (including all categories) JEE Main rank holders are eligible to appear for JEE Advanced.
2. Exam Pattern: The JEE Advanced exam consists of two papers, Paper 1 and Paper 2. Both papers are mandatory, and each paper is divided into three sections: Physics, Chemistry, and Mathematics. The exam pattern may vary from year to year, and the questions are designed to test a candidate's analytical and problem-solving skills.
3. Syllabus: The syllabus for JEE Advanced is based on topics from Physics, Chemistry, and Mathematics. It covers a wide range of concepts and includes topics from Class 11 and Class 12 of the Central Board of Secondary Education (CBSE) or equivalent boards.
4. Difficulty Level: JEE Advanced is known for its challenging nature. The questions are designed to assess the depth of understanding and application of concepts rather than rote memorization. The exam tests a candidate's ability to think critically, analyze problems, and come up with innovative solutions.
5. Selection Process: The selection process for admission into the IITs is based on the performance in the JEE Advanced exam. The final rank list is prepared based on the aggregate marks obtained in the exam. Candidates who qualify the exam and meet the eligibility criteria are then eligible for counseling and seat allocation.
6. Coaching and Preparation: Due to the competitive nature of the exam, many students opt for coaching institutes to prepare for JEE Advanced. However, self-study and dedication can also lead to success. It's essential to have a thorough understanding of the concepts, practice a wide variety of problems, and take mock tests to improve time management and accuracy.I'm sorry, but I'm not sure I understand your request. Are you looking for tags related to modulus equations for YouTube videos? If so, here are some potential tags that you could use:
#ModulusEquations
#AbsoluteValueEquations #SolvingModulusEquations
#ModulusEquationsTutorial
#ModulusEquationsExamples
#ModulusEquationsExplained
#ModulusEquationsStepByStep
#ModulusEquationsPractice
#ModulusEquationsProblems
#ModulusEquationsSolutions
#IITJEE
#IITJEEPreparation
#IITJEE2023 (replace "2023" with the relevant year)
#IITJEEExam
#IITJEEAdvanced
#IITJEEMain
#JEEPreparation
#JEEAdvanced
#JEEMain
#JEECoaching
Don't Forget to Subscribe to our Channel for more Math tutorials and tips!
A modulus equation, also known as an absolute value equation, is an equation that involves the modulus or absolute value function. The modulus or absolute value of a number is its distance from zero on the number line and is denoted by vertical bars or double bars surrounding the number.
The general form of a modulus equation is:
|expression| = constant
To solve a modulus equation, you need to consider two cases: when the expression inside the modulus is positive and when it is negative. Let's go through an example to illustrate the process:
Example:
Solve the modulus equation: |2x + 3| = 7
Case 1: (2x + 3) is positive
If (2x + 3) is greater than or equal to zero, we can remove the modulus signs without changing the equation.
2x + 3 = 7
Solve for x:
2x = 7 - 3
2x = 4
x = 4/2
x = 2
Case 2: (2x + 3) is negative
If (2x + 3) is less than zero, we need to negate the expression inside the modulus.
-(2x + 3) = 7
Solve for x:
-2x - 3 = 7
-2x = 7 + 3
-2x = 10
x = 10/-2
x = -5
Therefore, the solutions to the modulus equation |2x + 3| = 7 are x = 2 and x = -5.
When solving modulus equations, it's essential to consider both cases and find all possible solutions.
About IIT- JEE Advanced
IIT-JEE Advanced is an entrance examination conducted in India for admission into the undergraduate programs offered by the Indian Institutes of Technology (IITs). It is considered one of the most prestigious engineering entrance exams in India. Here are some key points about IIT-JEE Advanced:
1. Eligibility: To be eligible for the IIT-JEE Advanced exam, candidates must first qualify in the JEE Main exam. Only the top 2,50,000 (including all categories) JEE Main rank holders are eligible to appear for JEE Advanced.
2. Exam Pattern: The JEE Advanced exam consists of two papers, Paper 1 and Paper 2. Both papers are mandatory, and each paper is divided into three sections: Physics, Chemistry, and Mathematics. The exam pattern may vary from year to year, and the questions are designed to test a candidate's analytical and problem-solving skills.
3. Syllabus: The syllabus for JEE Advanced is based on topics from Physics, Chemistry, and Mathematics. It covers a wide range of concepts and includes topics from Class 11 and Class 12 of the Central Board of Secondary Education (CBSE) or equivalent boards.
4. Difficulty Level: JEE Advanced is known for its challenging nature. The questions are designed to assess the depth of understanding and application of concepts rather than rote memorization. The exam tests a candidate's ability to think critically, analyze problems, and come up with innovative solutions.
5. Selection Process: The selection process for admission into the IITs is based on the performance in the JEE Advanced exam. The final rank list is prepared based on the aggregate marks obtained in the exam. Candidates who qualify the exam and meet the eligibility criteria are then eligible for counseling and seat allocation.
6. Coaching and Preparation: Due to the competitive nature of the exam, many students opt for coaching institutes to prepare for JEE Advanced. However, self-study and dedication can also lead to success. It's essential to have a thorough understanding of the concepts, practice a wide variety of problems, and take mock tests to improve time management and accuracy.I'm sorry, but I'm not sure I understand your request. Are you looking for tags related to modulus equations for YouTube videos? If so, here are some potential tags that you could use:
#ModulusEquations
#AbsoluteValueEquations #SolvingModulusEquations
#ModulusEquationsTutorial
#ModulusEquationsExamples
#ModulusEquationsExplained
#ModulusEquationsStepByStep
#ModulusEquationsPractice
#ModulusEquationsProblems
#ModulusEquationsSolutions
#IITJEE
#IITJEEPreparation
#IITJEE2023 (replace "2023" with the relevant year)
#IITJEEExam
#IITJEEAdvanced
#IITJEEMain
#JEEPreparation
#JEEAdvanced
#JEEMain
#JEECoaching
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