निम्नलिखित असमिकाओं पर विचार करें।

(i) 3𝑝 − 𝑞

(ii) 3𝑞 − 𝑝

नीचे दिए गए व्यंजकों में से कौन सा उपरोक्त दो असमिकाओं को संतुष्ट करता है?

This question was previously asked in
GATE 2022 (Chemistry) Official Paper (Held On: 06 Feb, 2022 Shift 2)
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  1. 𝑝 + 𝑞 < 8
  2. 𝑝 + 𝑞 = 8
  3. 8 ≤ 𝑝 + 𝑞 < 16
  4. 𝑝 + 𝑞 ≥ 16

Answer (Detailed Solution Below)

Option 1 : 𝑝 + 𝑞 < 8
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GATE Chemistry: Start Your Preparation Quiz
5 Qs. 7 Marks 10 Mins

Detailed Solution

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व्याख्या -

हमारे पास है

3𝑝 − 𝑞

3𝑞 − 𝑝

अब समीकरण (ii) में 3 से गुणा करें

9𝑞 − 3𝑝

अब दोनों समीकरणों को जोड़ने पर हमें मिलता है -

8q

अब यदि हम समीकरण (1) में q का मान रखते हैं तो हमें मिलता है -

3p

3p

3p ⇒ p

इसलिए p + q

इसलिए विकल्प (1) सही है।

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