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Solve `|x+1|gt4,x inR`. |
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Answer» We have,`|x|gtaiffxlt-aorxgta`. `therefore |x+1|gt4 iffx+1lt-4orx+1gt4` `iff xlt-4-1orxgt4-1` `iff x lt-5orxgt3` `iff x in(-oo,-5)orx in(3,oo)`. `therefore` solution set `=(-oo,-5)uu(3,oo)`. |
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