पूर्णांक (x) के लिए \(\frac{2x-3}{5}<x-1\le\frac{x+8}{2}\) में कितने हल हैं?

For integer (x), how many solutions are there for \(\frac{2x-3}{5}<x-1\le\frac{x+8}{2}\)?

Explanation opens after your attempt
Correct Answer

C. (11)

Step 1

Concept

Solving both parts gives \(x>-\frac{2}{3}\) and \(x\le10\). Thus integers are \(x=0,1,\ldots,10\), totaling (11).

Step 2

Why this answer is correct

The correct answer is C. (11). Solving both parts gives \(x>-\frac{2}{3}\) and \(x\le10\). Thus integers are \(x=0,1,\ldots,10\), totaling (11).

Step 3

Exam Tip

दोनों भाग हल करने पर \(x>-\frac{2}{3}\) और \(x\le10\) मिलता है। अतः पूर्णांक \(x=0,1,\ldots,10\) हैं, कुल (11)।

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Mathematics Answer, Explanation and Revision Hints

पूर्णांक (x) के लिए \(\frac{2x-3}{5}<x-1\le\frac{x+8}{2}\) में कितने हल हैं? / For integer (x), how many solutions are there for \(\frac{2x-3}{5}<x-1\le\frac{x+8}{2}\)?

Correct Answer: C. (11). Explanation: दोनों भाग हल करने पर \(x>-\frac{2}{3}\) और \(x\le10\) मिलता है। अतः पूर्णांक \(x=0,1,\ldots,10\) हैं, कुल (11)। / Solving both parts gives \(x>-\frac{2}{3}\) and \(x\le10\). Thus integers are \(x=0,1,\ldots,10\), totaling (11).

Which concept should I revise for this Mathematics MCQ?

Solving both parts gives \(x>-\frac{2}{3}\) and \(x\le10\). Thus integers are \(x=0,1,\ldots,10\), totaling (11).

What exam hint can help solve this Mathematics question?

दोनों भाग हल करने पर \(x>-\frac{2}{3}\) और \(x\le10\) मिलता है। अतः पूर्णांक \(x=0,1,\ldots,10\) हैं, कुल (11)।