Inequalities & Simple Functions

Download Q&A

Inequalities & Simple Functions MCQ & Objective Questions

Inequalities and simple functions are crucial topics in mathematics that form the foundation for various advanced concepts. Mastering these areas is essential for students preparing for school exams and competitive tests. By practicing MCQs and objective questions, students can enhance their understanding and improve their scores in exams. Engaging with practice questions helps identify important concepts and boosts confidence in tackling exam challenges.

What You Will Practise Here

  • Understanding the definition and types of inequalities
  • Solving linear inequalities and their graphical representation
  • Exploring simple functions and their properties
  • Applying the concept of inequalities in real-life scenarios
  • Learning key formulas related to inequalities and functions
  • Identifying and interpreting function notation
  • Working through important inequalities & simple functions MCQ questions

Exam Relevance

The topic of inequalities and simple functions is frequently tested in various examinations, including CBSE, State Boards, NEET, and JEE. Students can expect questions that require them to solve inequalities, analyze function behavior, and apply these concepts in problem-solving scenarios. Common question patterns include multiple-choice questions that assess both theoretical knowledge and practical application, making it essential for students to be well-prepared.

Common Mistakes Students Make

  • Misinterpreting the signs in inequalities, leading to incorrect solutions
  • Confusing between different types of functions and their characteristics
  • Neglecting to check the domain and range of functions
  • Overlooking the importance of graphical representation in understanding inequalities
  • Failing to apply the correct formulas when solving problems

FAQs

Question: What are the key types of inequalities I should focus on?
Answer: Focus on linear inequalities, quadratic inequalities, and their graphical interpretations.

Question: How can I improve my understanding of simple functions?
Answer: Practice solving various problems and familiarize yourself with function notation and properties.

Start solving practice MCQs on inequalities and simple functions today to test your understanding and boost your exam readiness. Remember, consistent practice is the key to success!

Q. If x + 3 < 2x - 1, what is the minimum integer value of x?
  • A. 1
  • B. 2
  • C. 3
  • D. 4
Q. If x + 4 > 10, what is the minimum integer value of x?
  • A. 5
  • B. 6
  • C. 7
  • D. 8
Q. If x + 4 < 10, which of the following must be true?
  • A. x < 6
  • B. x > 6
  • C. x < 5
  • D. x > 5
Q. If x + 4 < 2x - 1, what is the value of x?
  • A. x < 5
  • B. x > 5
  • C. x < 3
  • D. x > 3
Q. If x + 4 < 2x - 3, what is the value of x?
  • A. x < 7
  • B. x > 7
  • C. x = 7
  • D. x = 3
Q. If x - 2 < 3 and x + 1 > 0, what is the range of x?
  • A. 0 < x < 5
  • B. 2 < x < 5
  • C. x < 5
  • D. x > 5
Q. If x is a positive integer and 3x - 5 < 10, what is the largest possible value of x?
  • A. 4
  • B. 5
  • C. 6
  • D. 7
Q. If x is a positive integer such that 3x - 5 < 10, what is the largest possible value of x?
  • A. 4
  • B. 5
  • C. 6
  • D. 7
Q. If x is a positive integer such that 4x - 1 < 15, what is the largest possible value of x?
  • A. 3
  • B. 4
  • C. 5
  • D. 6
Q. If x is a positive integer such that x + 5 < 10, what is the maximum value of x?
  • A. 3
  • B. 4
  • C. 5
  • D. 6
Q. If x is a positive integer, which of the following must be true if x^2 < 16?
  • A. x < 4
  • B. x > 4
  • C. x = 4
  • D. x < 0
Q. If x ≤ 4, which of the following must be true?
  • A. x + 1 ≤ 5
  • B. x - 2 ≥ 2
  • C. 2x ≤ 8
  • D. x + 3 > 8
Q. If y < 2 and y + 3 > 0, which of the following is true?
  • A. y < -3
  • B. y > -3
  • C. y < 0
  • D. y > 0
Q. Which of the following inequalities is equivalent to 3x - 5 > 1?
  • A. x > 2
  • B. x < 2
  • C. x > 1
  • D. x < 1
Q. Which of the following inequalities is equivalent to 5 - 2x > 1?
  • A. 2x < 4
  • B. 2x > 4
  • C. x < 2
  • D. x > 2
Q. Which of the following inequalities is equivalent to x/3 + 2 < 5?
  • A. x < 9
  • B. x > 9
  • C. x < 6
  • D. x > 6
Q. Which of the following is NOT a solution to the inequality 2x - 3 ≤ 5?
  • A. 1
  • B. 2
  • C. 3
  • D. 4
Q. Which of the following is NOT a solution to the inequality 4x - 1 < 3?
  • A. 0
  • B. 1
  • C. 2
  • D. -1
Q. Which of the following is true if x > 1?
  • A. x^2 > x
  • B. x^2 < x
  • C. x^2 = x
  • D. x^2 ≤ x
Q. Which of the following is true if x < 0?
  • A. x^2 > x
  • B. x^2 < x
  • C. x^2 = x
  • D. x^2 ≥ x
Q. Which of the following is true if x < 2?
  • A. x + 3 < 5
  • B. 2x > 4
  • C. x - 1 < 0
  • D. 3x < 6
Q. Which of the following is true if x + 5 < 2x?
  • A. x < 5
  • B. x > 5
  • C. x = 5
  • D. x < 0
Showing 31 to 52 of 52 (2 Pages)
Soulshift Feedback ×

On a scale of 0–10, how likely are you to recommend The Soulshift Academy?

Not likely Very likely