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What is the correct number-line interval for ( -1\le 4-2x<9 )?( -1\le 4-2x<9 ) का सही संख्या रेखा अंतराल कौन सा है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: ( \left(-\frac{5}{2},\frac{5}{2}\right] )( \left(-\frac{5}{2},\frac{5}{2}\right] )
Solving gives ( -5\le -2x<5 ). Dividing by a negative gives ( \frac{5}{2}\ge x>-\frac{5}{2} ), that is ( -\frac{5}{2}<x\le \frac{5}{2} ).हल करने पर ( -5\le -2x<5 ) मिलता है। ऋणात्मक से भाग देने पर ( \frac{5}{2}\ge x>-\frac{5}{2} ), यानी ( -\frac{5}{2}<x\le \frac{5}{2} ) होगा।
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