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Find the values of 1/x for the following values of x (2,5)(b ) [-5 ,-1]( c)( 3, oo)(d)(-3,oo)( e)(-oo , 4) |
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Answer» `rArr-2 lt x lt 0 or0 le x le 3` `For -2 lt x lt 0, x^2 in (0,4)` and for `0le x le 3, x^2 in [0,9] " "(1)` From (1) and (2) `x^2 in[0,9] " " (2)` Alternatively ,`x in (-2 ,3]` now least value of `x^2` is 0 which Greatest value of `x^2` is 9 for x =3 `rArrx^2 in [0,9]` (d) `(-3,OO)` Here least value of `x^2` is 0 for x=0 and when x goes up to `rArr x^2 in [0,oo)` ( e) `(-oo , 4)` Here least value of `x^2` is 0 for x =0 for x=0 and`x^2 rarr oo` when `xrarr -oo` Hence `x^2in [0,oo)` |
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