Question 247624: Could you please help me with this, thank you.
Compare the graphs of 3x – 2y > 6 and 3x – 2y <= 6.
Answer by College Student(505)   (Show Source):
You can put this solution on YOUR website! To graph an equation or inequality, we usually solve for y.
At least, this helps us when using a graphing calculator.
Therefore:
Notice that when we add or substract on both sides of inequalities, the symbol does not change direction. However, when we multiply or divide by a negative number on both sides, the symbol does change direction.
The results are very similar, except that they mean different things.
If these were equalities, below is how the graph would look like:
However, in the case of , the line should not be a solid line, it should be drawn like: - - - - and you should also shade the area below this line since the y is less than - - - -.
On the other hand, in the case of , the line should be solid and you should also shade the area above the line since y is "greater than and equal to" the line.
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