Question 54552
[ x + 2y ]greater than or equal to 6 
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This means:
x+2y>=6 OR x+2y<=-6
y>=(-1/2)x+3  OR y<=(-1/2)x-3
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Graph the two lines:
y>=(-1/2)x+3
Two points are (0,3) and (2,2)
Draw the line and shade the half-plane above the line.
y<=(-1/2)x-3
Two points are (0,-3) and (2,-4)
Draw the line and shade the half-plane below the line.
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The final graph is the union of the lines and the shaded areas.
Cheers,
stan H.