यदि \(U={x:x \in \mathbb{Z},-6\le x\le 12}\) और \(A={x:x \in U,2x-3<7}\), तो (A') क्या है?

If \(U={x:x \in \mathbb{Z},-6\le x\le 12}\) and \(A={x:x \in U,2x-3<7}\), what is (A')?

Explanation opens after your attempt
Correct Answer

A. ({5,6,7,8,9,10,11,12})

Step 1

Concept

(2x-3<7) gives (x<5). Therefore the complement contains elements with \(x\ge 5\).

Step 2

Why this answer is correct

The correct answer is A. ({5,6,7,8,9,10,11,12}). (2x-3<7) gives (x<5). Therefore the complement contains elements with \(x\ge 5\).

Step 3

Exam Tip

(2x-3<7) से (x<5) मिलता है। इसलिए पूरक में \(x\ge 5\) वाले सदस्य आएंगे।

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Mathematics Answer, Explanation and Revision Hints

यदि \(U={x:x \in \mathbb{Z},-6\le x\le 12}\) और \(A={x:x \in U,2x-3<7}\), तो (A') क्या है? / If \(U={x:x \in \mathbb{Z},-6\le x\le 12}\) and \(A={x:x \in U,2x-3<7}\), what is (A')?

Correct Answer: A. ({5,6,7,8,9,10,11,12}). Explanation: (2x-3<7) से (x<5) मिलता है। इसलिए पूरक में \(x\ge 5\) वाले सदस्य आएंगे। / (2x-3<7) gives (x<5). Therefore the complement contains elements with \(x\ge 5\).

Which concept should I revise for this Mathematics MCQ?

(2x-3<7) gives (x<5). Therefore the complement contains elements with \(x\ge 5\).

What exam hint can help solve this Mathematics question?

(2x-3<7) से (x<5) मिलता है। इसलिए पूरक में \(x\ge 5\) वाले सदस्य आएंगे।