Answer
Solution Set: $\emptyset$
(No graph)
Work Step by Step
$x\le3$ includes the numbers that are less than or equal to $3$.
$x\ge6$ includes the numbers that are greater than or equal to $6$.
The conjunction "and" means intersection so find the numbers that are common to both inequalities.
Note that the two sets have no common elements.
Thus, the solution set is $\emptyset$.