You can put this solution on YOUR website! The graph the inequality, we must first rewrite the inequality so it expressed explicitly in terms of x.
To do this, we must first subtract 2x from each side to have y by itself. This gives us . Now we need to divide through by 3 to reduce the coefficient of y 1 one. This gives us .
Now, we just graph this as a normal y = line, keeping in mind that instead of using a solid line, we must use a dotted line to indicate a strict inequality (if it were >=, then we would use a solid line).
The graph looks like this (keeping in mind that you will need to replace the solid line with a dotted line):
Finally, because we are looking for all y values GREATER than that line, you must shade the region above the line.
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