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| 1. |
Solve `|3x-2| le 5`. |
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Answer» `|3x -2| le 5` `rArr -5 le 3x -2 le 5` `rArr -5 + 2 le 3x le 5 + 2` (adding 2 throughout the continued inequation) `rArr -3 le 3x le 7` `rArr (-3)/(3) le x le (7)/(3)` (dividing by 3 throughout the contiued inequation) `rArr -1 le x le (7)/(3)` `therefore ` Solution set `={ x //-1le x le (7)/(3)} (or) = [-1, (7)/(3)]`. |
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