Answer
$\left[ 2,\infty \right)$
Work Step by Step
Solving the inequalities separately results to
\begin{array}{l}
-2x\le-4\\
x\ge2
,\\\\\text{OR}\\\\
5x-20\ge5\\
5x\ge25\\
x\ge5
.\end{array}
Using the conjuntion "or" the solution set is the combined solutions sets of both inequalities. Hence, the solution set is $
\left[ 2,\infty \right)
$.
