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Find the number of integal values of x satisfying `sqrt(-x^2+10x-16) lt x -2` |
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Answer» Correct Answer - 3 `sqrt(-x^2+10x-16) lt x-2 ` We must have `-x^2+10 x -16 gt 0 ` or `x^2- 10 x+16 le 0 ` `rArr 2 le x le 8 ` Also `-x^2+10x- 16 lt x^2 -4x +4` or `2x^2-14x+20 gt 0` or `x^2- 7 x + 10 gt 0 ` `rArr x gt 5 or x lt 2` From (1) and (2),`5 lt x le 8 rArr x = 6,7,8` |
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