# How do you solve the inequality -5 (k-1) > 5 (2 - k)?

Jan 28, 2016

$k \in \emptyset$
i.e. there is no value of $k$ for which this inequality is true.

#### Explanation:

$- 5 \left(k - 1\right) > 5 \left(2 - k\right)$

Simplifies as:
$\textcolor{w h i t e}{\text{XXX}} \cancel{- 5 k} + 5 > 10 \cancel{- 5 k}$
which could only be true if $5 > 10$ (which can not be true).