# How do you solve |10- 8x | < - 13?

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#### Explanation

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#### Explanation:

I want someone to double check my answer

1
Sep 20, 2016

No solution.

#### Explanation:

No solution since the absolute value function can never be negative and hence can never be less than $- 13$.

By definition, $| y | = \left\{\begin{matrix}y & y > 0 \\ - y & y < 0\end{matrix}\right\}$

Hence $| y | \ge 0 \forall y \in \mathbb{R}$

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