Question 36444: Graph the following inequality and shade it.
3X – 4Y < 12 ( , ) ( , )Please describe the plotting in words.
Answer by rapaljer(4671)   (Show Source):
You can put this solution on YOUR website! Graph the following inequality and shade it.
3X – 4Y < 12 ( , ) ( , )Please describe the plotting in words.
I'll solve it, and I'll let YOU put it in words!! Okay??
The easiest way to graph an equation or inequality that is given in standard form as this one is, is by the TWO INTERCEPT METHOD! This means to find the x and y intercepts.
The equation of the line is 3x-4y = 12. Find the intercepts:
If x = 0, then 3(0) - 4y = 12, so -4y = 12, and y = -3.
If y = 0, then 3x - 4(0) = 12, so 3x = 12, and x = 4.
Graph these two points on the graph: (0, -3) and (4, 0).
Now the inequality is written in the form 3x - 4y < 12, which means that the line is NOT included. Draw it with a DOTTED (or a DASHED) LINE. Also, you must shade either above or below the line. If the problem had had a positive y coefficient, then a "+y < " means shade BELOW the line, and "+y > " means to shade ABOVE the line. Since this problem has a NEGATIVE y coefficient, you must reverse the rule, and so a "-y <" really means to SHADE ABOVE the line. I don't know how to do this in algebra.com, so you will have to do it for me. I'll draw the line for you, but YOU will have to take what I post, and make the line a DOTTED line, AND you must shade all the area that is ABOVE the line.
Remember, you must make this line DOTTED, and you must shade ABOVE the line.
R^2 at SCC
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