Daily Practice Problems Linear Inequalities

Question 1:

Solve 5x – 3 < 3x + 1 where x is an integer.

Question 2:

Solve: (5 – 2x)/3 ≤ x/6 - 5

Question 3:

Ravi scored 70 and 75 marks in the first two-unit test. Calculate the minimum marks he should get in the third test to have an average of at least 60 marks.

Question 4:

Solve: (x - 4)/2 ≥ (x + 1)/4 - 1

Question 5:

Solve the equation, 4x - 2 ≤ 6 and 9x + 3 ≥ -15

Question 6:

Consider a triangle where the longest side of the triangle is three times the shortest side. Third side of the triangle is 3 cm smaller than the longest side. Parameter of the triangle is at least 61 cm. What will be the minimum length of the shortest side?

Question 7:

For the pool, the average water acidity is considered normal when in the range of 7.2 and 7.8 pH when measured for three days continuously. What will be the pH for the third day when acidity for the first two days is 7.52 and 7.1. Consider the pH of the pool in normal.

Question 8:

In T20 series, Raj scored 30 and 85 runs in the first two matches. Calculate the minimum runs required in his third match to form an average of at least 50 runs.

Question 9:

Find the pairs of consecutive odd natural numbers both of which are larger than 10 such that their sum is less than 50.

Question 10:

While drilling hole it was found that temperature (T) changes at (x) km below the surface. It was given by T = 30 + 25(x - 3) and 3 < x < 15. Determine the depth at which temperature will be between 400°C and 700°C.

Question 11:

Let x is an integer. Solve 5x – 3 ≤ 3x + 1

Question 12:

Solve for x: 2x – 1 ≤ 3, 3x + 1 ≥ -5

Question 13:

If (x + 3)/(x – 2) > 1/2 then x lies in the interval _____.

Question 14:

The interval in which f(x) = (x – 1)(x – 2)(x – 3) is negative is _____.

Question 15:

The solution of the inequality |x – 1| < 2 is ____.

Question 16:

If | x − 1| > 5, then range of x is _____.

Question 17:

The solution of |2/(x – 4)| > 1 where x ≠ 4 is

Question 18:

The graph of the inequations x ≥ 0, y ≥ 0, 3x + 4y ≤ 12 is

Question 19:

Solve: f(x) = {(x – 1)(2 – x)}/(x – 3) ≥ 0

Question 20:

The length of a rectangle is three times the breadth. If the minimum perimeter of the rectangle is 160 cm, then breadth ______.

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Problem-solving on Class 11 Maths Linear Inequalities NCERT Chapter 5 after learning a theoretical concept is crucial for several reasons:

Application of Knowledge: Problem-solving allows you to apply the theoretical concepts of the topic Class 11 Maths Linear Inequalities you have learned to real-life situations. It helps you bridge the gap between abstract knowledge and practical scenarios, making the learning more relevant and meaningful.
Understanding Deeper Concepts: When you encounter problems related to a theoretical concept that you learned in Class 11 Maths Linear Inequalities NCERT Chapter 5, you are forced to delve deeper into its intricacies. This deeper understanding enhances your comprehension of the subject and strengthens your grasp of the underlying principles.
Critical Thinking: Problem-solving encourages critical thinking and analytical skills. It requires you to analyze the problem, identify relevant information, and devise a logical solution. This process sharpens your mind and improves your ability to approach complex challenges effectively.
Retention and Recall: Actively engaging in problem-solving reinforces your memory and improves long-term retention. Applying the concepts learned in Linear Inequalities Class 11 Maths in practical scenarios helps you remember them better than passive reading or memorization.
Identifying Knowledge Gaps: When you attempt to solve problems, you may encounter areas where your understanding is lacking. These knowledge gaps become evident during problem-solving, and you can then focus on filling those gaps through further study and practice. You can refer Linear Inequalities Class 11 Maths Notes on LearnoHub.com
Boosting Confidence: Successfully solving problems after learning a theoretical concept boosts your confidence in your abilities to handle Linear Inequalities. This confidence motivates you to tackle more challenging tasks and improves your overall performance in the subject.
Preparation for Exams and Challenges: Many exams, especially in science, mathematics, and engineering, involve problem-solving tasks. Regular practice in problem-solving prepares you to face these exams with confidence and perform well. It is also advised to take tests on Linear Inequalities Class 11 Maths Online Tests at LearnoHub.com.
Enhancing Creativity: Problem-solving often requires thinking outside the box and exploring various approaches. This fosters creativity and innovation, enabling you to come up with novel solutions to different problems.
Life Skills Development: Problem-solving is a valuable life skill that extends beyond academics. It equips you with the ability to tackle various challenges you may encounter in personal and professional life.
Improving Decision Making: Problem-solving involves making decisions based on available information and logical reasoning. Practicing problem-solving enhances your decision-making skills, making you more effective in making informed choices.

In summary, problem-solving after learning a theoretical concept on CBSE Linear Inequalities Class 11 Maths is an essential part of the learning process. It enhances your understanding, critical thinking abilities, and retention of knowledge. Moreover, it equips you with valuable skills that are applicable in academic, personal, and professional contexts.

You must have heard of the phrase “Practice makes a man perfect”. Well, not just a man, practice indeed enhances perfection of every individual.

Practicing questions plays a pivotal role in achieving excellence in exams. Just as the adage goes, "Practice makes perfect," dedicating time to solve a diverse range of exam-related questions yields manifold benefits. Firstly, practicing questions allows students to familiarize themselves with the exam format and types of problems they might encounter. This familiarity instills confidence, reducing anxiety and improving performance on the actual exam day. Secondly, continuous practice sharpens problem-solving skills and enhances critical thinking, enabling students to approach complex problems with clarity and efficiency. Thirdly, it aids in identifying weak areas, allowing students to focus their efforts on improving specific topics. Moreover, practice aids in memory retention, as active engagement with the material reinforces learning. Regular practice also hones time management skills, ensuring that students can allocate appropriate time to each question during the exam. Overall, practicing questions not only boosts exam performance but also instills a deeper understanding of the subject matter, fostering a holistic and effective learning experience.

All About Daily Practice Problems on Class 11 Maths Linear Inequalities NCERT Chapter 5

Our Daily Practice Problems (DPPs) offer a diverse range of question types, including Multiple Choice Questions (MCQs) as well as short and long answer types. These questions are categorized into Easy, Moderate, and Difficult levels, allowing students to gradually progress and challenge themselves accordingly. Additionally, comprehensive solutions are provided for each question, available for download in PDF format - Download pdf solutions as well as Download pdf Questions. This approach fosters a holistic learning experience, catering to different learning styles, promoting self-assessment, and improving problem-solving skills. With our well-structured DPPs, students can excel in exams while gaining a deeper understanding of the subject matter. Hope you found the content on Class 11 Maths Linear Inequalities NCERT Chapter 5 useful.

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Linear Inequalities Class 11 Maths Best videos
Linear Inequalities Class 11 Maths NCERT Solutions
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Linear Inequalities Class 11 Maths DPPs, Download PDF of solutions
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Class 11 Maths Sample papers