Answer
Solution Set: $\left\{\right\}$ or $\emptyset$
The set has has no graph.
Work Step by Step
$x\le-1$ includes the numbers that are less than or equal to $-1$.
$x\ge3$ includes the numbers that are greater than or equal to $3$.
The conjunction "and" means intersection so find the numbers that are common to both inequalities.
Note that the two sets have no common elements.
Hence, the solution set is $\emptyset$.
