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Solve 5x – 3 < 7, when x is an integer. - Mathematics

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प्रश्न

Solve 5x – 3 < 7, when x is an integer.

योग
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उत्तर

The given inequality is 5x– 3 < 7.

5x - 3 < 7 

= 5x - 3 + 3 < 7 + 3

= 5x < 10

= `(5x)/5 < 10/5`

= x < 2

The integers less than 2 are …, –4, –3, –2, –1, 0, 1.

Thus, when x is an integer, the solutions of the given inequality are …, –4, –3, –2, –1, 0, 1.

Hence, in this case, the solution set is {…, –4, –3, –2, –1, 0, 1}.

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अध्याय 6: Linear Inequalities - Exercise 6.1 [पृष्ठ १२२]

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एनसीईआरटी Mathematics [English] Class 11
अध्याय 6 Linear Inequalities
Exercise 6.1 | Q 3.1 | पृष्ठ १२२
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