1.

Supose that `alpha lt x lt beta` the solution to the following inequality `((1)/(3))^(x^(2) + 1) gt ((1)/(9))^(x + 2)` then `beta - alpha` is equal toA. `2`B. `-2`C. `5`D. `4`

Answer» Correct Answer - D
`x^(2) + 1 lt 2x + 4 rArr x^(2) - 2x - 3 lt 0`
`(x - 3) (x +1) lt 0`
`-1 lt x lt 3`


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