Class 11 Maths mcqs Chapter 6, Linear Inequalities, includes MCQs to help students prepare for their exams. These MCQs come with correct answers and detailed explanations. They are based on the latest CBSE syllabus and cover all key topics from Chapter 6 of Class 11 Maths.
Students can solve the multiple-choice questions for Chapter 6, Linear Inequalities, and check their answers using the provided solutions.
MCQs for Class 11 Maths Chapter 6 Linear Inequalities with Answers
Which of the following is a linear inequality in one variable?
- a) \(x^2 + 2x > 5\)
- b) \(x – 3 \leq 7\)
- c) \(y^2 – y + 1 \geq 0\)
- d) \(x^2 – 4x + 4 < 0\)
Answer: b) \(x – 3 \leq 7\)
- The solution of \(3x – 5 < 7\) is:
- a) \(x > 4\)
- b) \(x < 4\)
- c) \(x \geq 4\)
- d) \(x \leq 4\)
Answer: b) \(x < 4\)
- The inequality \(x + 4 > 2x – 1\) simplifies to:
- a) \(x < 5\)
- b) \(x > 5\)
- c) \(x = 5\)
- d) \(x \leq 5\)
Answer: b) \(x > 5\)
- Which of the following is a solution for \(2x + 3 < 9\)?
- a) \(x = 4\)
- b) \(x = 3\)
- c) \(x = 2\)
- d) \(x = 6\)
Answer: c) \(x = 2\)
- The graph of the inequality \(x \leq 3\) is represented by:
- a) A line passing through \(x = 3\) with the region shaded to the right
- b) A line passing through \(x = 3\) with the region shaded to the left
- c) A dotted line through \(x = 3\)
- d) A parabola
Answer: b) A line passing through \(x = 3\) with the region shaded to the left
- If \(4x – 7 \geq 5\), then \(x\) lies in the interval:
- a) \([3, \infty)\)
- b) \((-\infty, 3]\)
- c) \((-\infty, 3)\)
- d) \([3, 7]\)
Answer: a) \([3, \infty)\)
- The inequality \(-2x + 3 > 7\) simplifies to:
- a) \(x > -2\)
- b) \(x < -2\)
- c) \(x = -2\)
- d) \(x \geq -2\)
Answer: b) \(x < -2\)
- Which of the following values satisfies \(x + 2 \leq 5\)?
- a) \(x = 4\)
- b) \(x = 2\)
- c) \(x = 3\)
- d) \(x = 6\)
Answer: b) \(x = 2\)
- For \(3x – 2 \leq 4\), the value of \(x\) is:
- a) \(x \geq 2\)
- b) \(x \leq 2\)
- c) \(x < 2\)
- d) \(x > 2\)
Answer: b) \(x \leq 2\)
- The inequality \(x – 2 > 0\) is satisfied when:
- a) \(x > 2\)
- b) \(x < 2\)
- c) \(x \geq 2\)
- d) \(x \leq 2\)
Answer: a) \(x > 2\)
- The solution of \(2x + 5 \leq 3x – 2\) is:
- a) \(x \geq 7\)
- b) \(x \leq 7\)
- c) \(x < 7\)
- d) \(x > 7\)
Answer: b) \(x \leq 7\)
- Which of the following is not a solution of \(x – 4 > 0\)?
- a) \(x = 5\)
- b) \(x = 4\)
- c) \(x = 6\)
- d) \(x = 7\)
Answer: b) \(x = 4\)
- For \(-3x + 4 \leq 7\), the solution is:
- a) \(x \leq -1\)
- b) \(x \geq -1\)
- c) \(x < -1\)
- d) \(x > -1\)
Answer: a) \(x \leq -1\)
- The inequality \(5x – 7 > 3\) is equivalent to:
- a) \(x > 2\)
- b) \(x < 2\)
- c) \(x \geq 2\)
- d) \(x \leq 2\)
Answer: a) \(x > 2\)
- If \(2x + 3 < 5x + 6\), then \(x\):
- a) \(x > -1\)
- b) \(x < -1\)
- c) \(x = -1\)
- d) \(x \geq -1\)
Answer: a) \(x > -1\)
- Which of the following represents \(x \geq 0\)?
- a) Positive values only
- b) Non-negative values
- c) Negative values only
- d) Zero only
Answer: b) Non-negative values
- The inequality \(3x \leq 15\) is satisfied when:
- a) \(x \geq 5\)
- b) \(x \leq 5\)
- c) \(x > 5\)
- d) \(x < 5\)
Answer: b) \(x \leq 5\)
- If \(-4x + 1 \geq 9\), then \(x\):
- a) \(x \leq -2\)
- b) \(x \geq -2\)
- c) \(x = -2\)
- d) \(x < -2\)
Answer: a) \(x \leq -2\)
- Which of the following is a compound inequality?
- a) \(x – 2 > 3\)
- b) \(x + 3 < 5\) and \(x – 2 > 1\)
- c) \(x^2 – x < 1\)
- d) \(x – 3 \geq 4\)
Answer: b) \(x + 3 < 5\) and \(x – 2 > 1\)
- If \(x + y > 5\) and \(x – y < 3\), what is the inequality for \(x\)?
- a) \(x > 4\)
- b) \(x < 4\)
- c) \(x = 4\)
- d) \(x \geq 4\)
Answer: a) \(x > 4\)
