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Class 11 Maths Chapter 5: Linear Inequalities Assertion-reason questions with answers

2 assertion-reason questions on Linear Inequalities, each with its answer and the reason, written from the NCERT chapter. For school exams on the CBSE pattern and JEE Main, which are set from the same NCERT chapter. Open a question's solution to check your working; then take the free test to find your next chapter. Each question gives an Assertion (A) and a Reason (R); choose how they stand to each other.

Question 1
Assertion (A): If −3x < 12, then x > −4. Reason (R): When both sides of an inequality are divided by a negative number, the sign of inequality is reversed.
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Answer: (a) Both A and R are true, and R is the correct explanation of A.

Dividing −3x < 12 by −3 needs the sign reversed, giving x > −4; so A is true, and R is exactly the rule used.

Question 2
Assertion (A): The solution of 4 − x < 1 is x < 3. Reason (R): When both sides of an inequality are multiplied by a negative number, the sign of inequality is reversed.
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Answer: (d) A is false, but R is true.

R is Rule 2 and is true. A is false: −x < −3, and multiplying by −1 reverses the sign, so x > 3. (Check: x = 0 gives 4 < 1, false.)

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