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Find the value of 1/x for the following values of x : (a)[-5 , -1](b)(3,6)(c )(-2 , 3)(d )(-oo , -2]( e)[-3,4] |
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Answer» ` rArr1/2 gt 1/xgt1/5` `RARR 1/(x)in(1/5,1/2)` (b) `-5 le x lt -1` `rArr-1/5ge 1/x gt-1` `rArr1/(x)in(-1,-1/5]` (c) `x gt3 or 3 lt x lt oo` `x le -2 or - oo lt x le-2` `rArr0 gt1/xge-1/2` `rArr1/x""in[-1/2,0)` (e ) `x in [-3 4]or -3 le x le 4` Now for `1/x `to get defined ,we must have `-3 le x lt 0 ` or `0 lt x le 4` `rArr -1/3 ge 1/xgt -ooor 1/4 le 1/x""lt oo` `rArr1/x""in(-oo,1/3]CUP[1/4,oo)` |
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