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If $-\mathrm{x}^{2}+3 \mathrm{x}+4>0$, then which one of the following is correct?
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Verified Answer
The correct answer is:
$x \in(-1,4)$
$-x^{2}+3 x+4>0$
$\Rightarrow x^{2}-3 x-4 < 0 \Rightarrow(x-4)(x+1) < 0$
Noting the sign of expression around $-1$ and 4 , we use way curve method.
$\Rightarrow \mathrm{x} \in(-1,4)$
$\Rightarrow x^{2}-3 x-4 < 0 \Rightarrow(x-4)(x+1) < 0$
Noting the sign of expression around $-1$ and 4 , we use way curve method.
$\Rightarrow \mathrm{x} \in(-1,4)$
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