Concept-wise Practice

bound MCQ Questions for Class 11

bound se related questions ko ek jagah revise karein. Har question me bilingual content, answer feedback aur explanation available hai.

Practice Questions

2 questions tagged with bound.

यदि \(x\leq -3\), तो (2-5x) के लिए कौन सा संबंध हमेशा सत्य है?

If \(x\leq -3\), which relation is always true for (2-5x)?

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Correct Answer

B. \(2-5x\geq 17\)

Step 1

Concept

Multiplying \(x\leq -3\) by (-5) gives \(-5x\geq 15\), then adding (2) gives \(2-5x\geq 17\). Negative multiplication changes direction.

Step 2

Why this answer is correct

The correct answer is B. \(2-5x\geq 17\). Multiplying \(x\leq -3\) by (-5) gives \(-5x\geq 15\), then adding (2) gives \(2-5x\geq 17\). Negative multiplication changes direction.

Step 3

Exam Tip

\(x\leq -3\) को (-5) से गुणा करने पर \(-5x\geq 15\) और (2) जोड़ने पर \(2-5x\geq 17\) है। ऋणात्मक गुणन में दिशा बदलती है।

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यदि (2a-3<7), तो (a) के लिए सही सीमा क्या है?

If (2a-3<7), what is the correct bound for (a)?

Explanation opens after your attempt
Correct Answer

A. (a<5)

Step 1

Concept

(2a<10) gives (a<5). Dividing by a positive coefficient does not change the sign.

Step 2

Why this answer is correct

The correct answer is A. (a<5). (2a<10) gives (a<5). Dividing by a positive coefficient does not change the sign.

Step 3

Exam Tip

(2a<10) से (a<5) मिलता है। धनात्मक गुणांक से भाग देने पर चिन्ह नहीं बदलता।

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