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3≥x-4/2+ x/3≥2... find the value of x ​

Answer» <html><body><p><strong><a href="https://interviewquestions.tuteehub.com/tag/answer-15557" style="font-weight:bold;" target="_blank" title="Click to know more about ANSWER">ANSWER</a>:</strong></p><p>Answer</p><p>Given inequation,</p><p>−2≤ </p><p>2</p><p>1</p><p></p><p> − </p><p>3</p><p>2x</p><p></p><p> ≤1 </p><p>6</p><p>5</p><p></p><p> ,<a href="https://interviewquestions.tuteehub.com/tag/x-746616" style="font-weight:bold;" target="_blank" title="Click to know more about X">X</a>∈N</p><p>⇒−2− </p><p>2</p><p>1</p><p></p><p> ≤ </p><p>2</p><p>1</p><p></p><p> − </p><p>3</p><p>2x</p><p></p><p> − </p><p>2</p><p>1</p><p></p><p> ≤ </p><p>6</p><p>11</p><p></p><p> − </p><p>2</p><p>1</p><p></p><p> </p><p>⇒− </p><p>2</p><p>5</p><p></p><p> ≤− </p><p>3</p><p>2x</p><p></p><p> ≤ </p><p>6</p><p>8</p><p></p><p> </p><p>⇒− </p><p>2</p><p>5</p><p></p><p> ≤− </p><p>3</p><p>2x</p><p></p><p> and − </p><p>3</p><p>2x</p><p></p><p> ≤ </p><p>6</p><p>8</p><p></p><p> </p><p>⇒−15≤−4x and −2x≤4</p><p>⇒15≥4x and 2x≥−4</p><p>⇒ </p><p>4</p><p>15</p><p></p><p> ≥x and x≥−2</p><p>⇒3.75≥x and x≥−2</p><p>Hence, the solution set is {x∈N:−2≤x≤3.75} </p><p>And as x∈N, the <a href="https://interviewquestions.tuteehub.com/tag/values-25920" style="font-weight:bold;" target="_blank" title="Click to know more about VALUES">VALUES</a> of x are 1,2,3 </p><p>The required graph of the solution on the number line is shown in <a href="https://interviewquestions.tuteehub.com/tag/figure-987693" style="font-weight:bold;" target="_blank" title="Click to know more about FIGURE">FIGURE</a>.</p></body></html>


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