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Step-by-step Solution

Solve the inequality $x\left(x+1\right)<2$

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Answer

$-2<x<1$

Step-by-step explanation

Problem to solve:

$x\left(x+1\right)<\:2$
1

Solve the product $x\left(x+1\right)$

$x^2+x<2$
2

Rewrite the inequation

$x^2+x-2<0$

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Answer

$-2<x<1$
$x\left(x+1\right)<\:2$

Main topic:

Inequalities

Time to solve it:

~ 0.74 seconds