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Solve `|3-4x|ge9, x in R`. |
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Answer» We have, `|x|gea iff x le-aorxgea`. `therefore |3-4x|ge9 iff3-4x le-9or3-4x ge9` `iff -4xle-9-3 or -4xge 9-3` `iff -4xle-12or -4x ge6` `iffx ge3 or le(-3)/(2)` `iff x le(-3)/(2)orxge3` `iff x in(-oo, (-3)/(2)]orx in[3,oo)`. `therefore` solution set `=(-oo,(-3)/(2)]uu[3,oo)`. |
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