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Answer:
You would make a dotted vertical line running through -6 on the horizontal or x axis. The shading would go to the left side of the line since x is less than -6 and the line is dotted because it is only less than and not equal to.
Step-by-step explanation:
See image
Via Lagrange multipliers:
At these points, we get local minima of
.
- - -
Another way to do this is to make
a function independent of 
, which is made possible by the constraint.
and so on.
At these points, we get local minima of
- - -
Another way to do this is to make
and so on.