# Solve it Algebraically? I won't dare

Algebra Level 4

$\large e^{ -| x | }+1= \alpha$

If the range of values of $\alpha$ for which the above equation has no solution can be expressed as $\left( -\infty ,A \right] \cup \left( B,\infty \right)$, then find the value of $A+B$.

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