Hello students, we are providing assertion reason questions for class 11. Assertion Reason questions are the new question format that is introduced in CBSE board. The resources for assertion reason questions are very less. So, to help students we have created chapterwise assertion reason questions for class 11 maths. In this article, you will find assertion reason questions for CBSE Class 11 Maths Chapter 5 Linear Inequalities. It is a part of Assertion Reason Questions for CBSE Class 11 Maths Series.
| Chapter | Linear Inequalities |
| Type of Questions | Assertion Reason Questions |
| Nature of Questions | Competency Based Questions |
| Board | CBSE |
| Class | 11 |
| Subject | Maths |
| Useful for | Class 11 Studying Students |
| Answers provided | Yes |
| Difficulty level | Mentioned |
| Important Link | Class 11 Maths Chapterwise Assertion Reason |
Assertion Reason Questions on Linear Inequalities
Assertion Reason Questions
Directions:
Each of the following questions consists of two statements: an Assertion (A) and a Reason (R). Answer them by selecting the correct option:
(a) Both Assertion (A) and Reason (R) are true, and Reason (R) is the correct explanation of Assertion (A).
(b) Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of Assertion (A).
(c) Assertion (A) is true, but Reason (R) is false.
(d) Assertion (A) is false, but Reason (R) is true.
Q1. Assertion (A): The solution of the inequality $2 x-5>1$ is $x>3$.
Reason (R): Subtracting 5 from both sides of the inequality reverses the inequality symbol.
Answer: (c) Assertion is true, but Reason is false.
Difficulty Level: Moderate
Q2. Assertion (A): The solution of the inequality $-2 x \leq 4$ is $x \geq-2$.
Reason (R): When both sides of an inequality are divided by a negative number, the direction of the inequality changes.
Answer: (a) Both $A$ and $R$ are true, and $R$ is the correct explanation of $A$.
Difficulty Level: Moderate
Q3. Assertion (A): The graph of the inequality $x+y<5$ is a region below the line $x+y=5$, excluding the line. Reason (R): The inequality $x+y<5$ includes all points for which the sum of $x$ and $y$ is less than 5.
Answer: (a) Both $A$ and $R$ are true, and $R$ is the correct explanation of $A$.
Difficulty Level: Moderate
Q4. Assertion (A): The solution set of the inequality $x^2-4 x+3>0$ is $x<1$ or $x>3$.
Reason (R): Quadratic inequalities are solved using sign analysis of intervals based on roots.
Answer: (a) Both $A$ and $R$ are true, and $R$ is the correct explanation of $A$.
Difficulty Level: Tough
Q5. Assertion (A): The solution of the inequality $5 x+2<5 x-3$ is $x<-1$. Reason $(R)$ : Subtracting the same expression from both sides does not change the inequality.
Answer: (b) Both $A$ and $R$ are true, but $R$ is not the correct explanation of $A$.
Difficulty Level: Tough
Also check
- Probability Class 11 Assertion Reason Questions Maths Chapter 14
- Statistics Class 11 Assertion Reason Questions Maths Chapter 13
- Limits and Derivatives Class 11 Assertion Reason Questions Maths Chapter 12
- Introduction to Three Dimensional Geometry Class 11 Assertion Reason Questions Maths Chapter 11
- Conic Sections Class 11 Assertion Reason Questions Maths Chapter 10
- Straight Lines Class 11 Assertion Reason Questions Maths Chapter 9
- Sequences and Series Class 11 Assertion Reason Questions Maths Chapter 8
- Binomial Theorem Class 11 Assertion Reason Questions Maths Chapter 7
- Permutation and Combinations Class 11 Assertion Reason Questions Maths Chapter 6
- Linear Inequalities Class 11 Assertion Reason Questions Maths Chapter 5
- Complex Numbers and Quadratic Equations Class 11 Assertion Reason Questions Maths Chapter 4
- Trigonometric Functions Class 11 Assertion Reason Questions Maths Chapter 3
- Relations and Functions Class 11 Assertion Reason Questions Maths Chapter 2
- Sets Class 11 Assertion Reason Questions Maths Chapter 1
Topics from which assertion reason questions may be asked
- Inequalities in One Variable
- Graphical Representation
- Linear Inequalities in Two Variables
Inequalities describe limits and ranges of mathematical situations.
Assertion reason questions from the above given topic may be asked.
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Frequently Asked Questions (FAQs) on Linear Inequalities Assertion Reason Questions Class 11
Q1: What does the chapter ‘Linear Inequalities’ cover?
A1: It introduces and builds core mathematical concepts related to linear inequalities.
Q2: What are assertion reason questions?
A2: These consist of an assertion and a reason. Students evaluate both statements and their relationship.
Q3: Why solve assertion reason questions from Linear Inequalities?
A3: They enhance understanding and critical thinking around the chapteru2019s key concepts.
Q4: Are these questions helpful for CBSE exams?
A4: Yes, they are competency-based and part of CBSEu2019s exam structure.
