Answer
$\left( -\infty,3 \right)\cup\left( 3,\infty \right)$
Work Step by Step
Solving the inequalities separately, then,
\begin{array}{l}
-2x\lt-6\\
x\gt3
,\\\\\text{OR}\\\\
1-x\gt-2\\
-x\gt-3\\
x\lt3
.\end{array}
Using the conjunction "OR", the solution set is the combined solution of both inequalities. Hence, in interval notation form, the solution is $
\left( -\infty,3 \right)\cup\left( 3,\infty \right)
$.
