ICSE 10 Maths
Linear Inequations (In one variable)
Question 1:
Solve the in-equation : 3 – 2x x – 12 given that x
N [Level: Easy]
Question 2:
Find the smallest value of x for which , where x is an integer. [Level: Moderate]
Question 3:
Solve the following inequation, write down the solution set: −2 + 10x ≤ 13x + 10 < 24 + 10x, x ∈ Z. [Level: Difficult]
Question 4:
Find the range of values of x which satisfies , x
R. [Level: Moderate]
Question 5:
Solve the following inequation. Write down the solution set: and
, where x
N. [Level: Difficult]
Question 6:
Solve the in-equation : 3 – x x – 9 given that x
N [Level: Easy]
Question 7:
Solve the following inequation, write the solution set: 2 + 4x < 2x – 5 3x , x
Z. [Level: Moderate]
Question 8:
Solve the following inequation and write down the solution set: 11x − 4 < 15x + 4 ≤ 13x + 14, x W [Level: Moderate]
Question 9:
If x ∈ N, find the solution set of inequations. [Level: Difficult]
(i) 5x + 3 ≤ 2x + 18
(ii) 3x – 2 < 19 – 4x
Question 10:
If 25 – 4x ≤ 16, find: [Level: Moderate]
(i) the smallest value of x, when x is a real number,
(ii) the smallest value of x, when x is an integer.
Question 11:
Given: A = {x: 11x – 5 > 7x + 3, x ∈ R} and B = {x: 18x – 9 ≥ 15 + 12x, x ∈ R}. Find the range of set A ∩ B. [Level: Moderate]
Question 12:
Solve the given inequation: 2y – 3 < y + 1 ≤ 4y + 7, y ∈ R. [Level: Moderate]
Question 13:
Solve the inequation: 3z – 5 ≤ z + 3 < 5z – 9, z ∈ R. [Level: Moderate]
Question 14:
Solve : [Level: Difficult]
(i) 3x – 2 > 19 or 3 – 2x ≥ -7, x ∈ R
(ii) 5 > p – 1 > 2 or 7 ≤ 2p – 1 ≤ 17, p ∈ R
Question 15:
Solve the following inequation: 2x – 3 < x + 2 ≤ 3x + 5, x ∈ R. [Level: Moderate]
Question 16:
If 5x – 3 ≤ 5 + 3x ≤ 4x + 2, express it as a ≤ x ≤ b and then state the values of a and b. [Level: Difficult]
Question 17:
Given x ∈ {real numbers}, find the range of values of x for which -5 ≤ 2x – 3 < x + 2. [Level: Easy]
Question 18:
List the elements of the solution set of the inequation -3 < x – 2 ≤ 9 – 2x; x ∈ N. [Level: Moderate]
Question 19:
Find the largest value of x for which 2(x – 1) ≤ 9 – x and x ∈ W. [Level: Easy]
Question 20:
Solve the following inequation and write down the solution set: 11x − 4 < 15x + 4 ≤ 13x + 14, x N [Level: Easy]
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In summary, problem-solving after learning a theoretical concept on CBSE Linear Inequations (In one variable) ICSE 10 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.
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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 ICSE 10 Maths Linear Inequations (In one variable) NCERT Chapter 4
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 ICSE 10 Maths Linear Inequations (In one variable) NCERT Chapter 4 useful.
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