Class 11 Mathematics Linear Inequalities representation on number line Hard Level 46

असमानता \(5\le 2x-1\le 13\) के लिए संख्या रेखा पर कौन-सा बंद interval बनेगा?

Which closed interval is formed on the number line for \(5\le 2x-1\le 13\)?

Explanation opens after your attempt
Correct Answer

B. ([3,7])

Step 1

Concept

\(6\le 2x\le 14\) gives \(3\le x\le 7\). In exams, if both signs are inclusive, the final interval stays closed.

Step 2

Why this answer is correct

The correct answer is B. ([3,7]). \(6\le 2x\le 14\) gives \(3\le x\le 7\). In exams, if both signs are inclusive, the final interval stays closed.

Step 3

Exam Tip

\(6\le 2x\le 14\) से \(3\le x\le 7\) मिलता है। परीक्षा में दोनों sides closed हों तो final interval भी closed रहता है।

Question me issue ya doubt hai?

Answer, explanation, typing mistake ya suggestion directly hamari team ko bhejein. 📱Helpline (Call / WhatsApp): +91 7272824365

Related Mathematics Questions

Check out these related questions:

  1. यदि \(\theta\) चतुर्थ चतुर्थांश में है और \(\cos \theta=\frac{8}{17}\), तो \(\tan \theta\) क्या होगा?
  2. यदि \(\sin x+\sin^2 x=0\), तो \(0\leq x<2\pi\) में कितने हल हैं?
  3. फलन (f(x)=\sin 2x+\sin 4x) का मूल आवर्त क्या है?
  4. \(5\sin x-12\cos x\) का अधिकतम मान क्या है?
  5. यदि \(\cos x=-\frac{1}{2}\), तो \(0\leq x<2\pi\) में (x) के मान कौन-से हैं?
  6. यदि \(\sin x=\frac{1}{2}\), तो \(0\leq x<2\pi\) में (x) के मान कौन-से हैं?
  7. \(\cos 3x\) का सही विस्तार कौन-सा है?
  8. \(\sin 3x\) का सही विस्तार कौन-सा है?
  9. यदि (x) तृतीय चतुर्थांश में है और \(\tan x=\frac{4}{3}\), तो \(\sin x\) क्या है?
  10. यदि (x) द्वितीय चतुर्थांश में है और \(\sin x=\frac{5}{13}\), तो \(\cos x\) क्या होगा?

Related Mathematics Learning Links

Mathematics Subject

Level-wise subject practice

Linear Inequalities Quiz

Chapter-wise MCQ practice

Search Similar MCQs

Find related questions

Daily Challenge

Fresh quiz practice
FAQs

Mathematics Answer, Explanation and Revision Hints

असमानता \(5\le 2x-1\le 13\) के लिए संख्या रेखा पर कौन-सा बंद interval बनेगा? / Which closed interval is formed on the number line for \(5\le 2x-1\le 13\)?

Correct Answer: B. ([3,7]). Explanation: \(6\le 2x\le 14\) से \(3\le x\le 7\) मिलता है। परीक्षा में दोनों sides closed हों तो final interval भी closed रहता है। / \(6\le 2x\le 14\) gives \(3\le x\le 7\). In exams, if both signs are inclusive, the final interval stays closed.

Which concept should I revise for this Mathematics MCQ?

\(6\le 2x\le 14\) gives \(3\le x\le 7\). In exams, if both signs are inclusive, the final interval stays closed.

What exam hint can help solve this Mathematics question?

\(6\le 2x\le 14\) से \(3\le x\le 7\) मिलता है। परीक्षा में दोनों sides closed हों तो final interval भी closed रहता है।