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Question 1195572: Sketch the following inequalities on the graph.
A. y is less than -4
B. x is greater than or equal to 5
C.y-7 is less than or equal to 0.
Found 2 solutions by Alan3354, ikleyn:
Answer by Alan3354(69443)   (Show Source):
You can put this solution on YOUR website! Sketch the following inequalities on the graph.
A. y is less than -4
B. x is greater than or equal to 5
C.y-7 is less than or equal to 0.
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DL the FREE graph software at www.padowan.dk
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A. y is less than -4
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Use Ins
Enter -4
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All the area below the line is the "solution." Not including the line.
Pick your color.
Answer by ikleyn(52790)  (Show Source):
You can put this solution on YOUR website! .
I read and understand your request as if you want me to sketch three independent graphs in three separate plots.
(not one sketch for all three inequalities).
(A) y < -4.
The line y = -4 is horizontal line parallel to x-axis.
It is located 4 units below x-axis.
The solution to this inequality is half-plane in (x,y)-coordinate plane,
whose points are all located below the line y = -4, not including the line itself.
Having this description, you can sketch the solution set by shading the region below the line y = -4,
not including the points on the line itself.
It means that on the sketch, line y = -4 should be shown as a dotted line.
(B) x >= 5.
The line x = 5 is vertical line parallel to y-axis.
It is located 5 units to the right of y-axis.
The solution to this inequality is half-plane in (x,y)-coordinate plane,
whose points are all located to the right of the line x = 5, including this line itself.
Having this description, you can sketch the solution set by shading the region to the right of the line x = 5,
including the points on the line itself.
It means that on the sketch, line x = 5 should be shown as a solid line.
(C) The given inequality y-7 <= 0 is the same (is EQUIVALENT) to THIS inequality y <= 7.
The line y = 7 is horizontal line parallel to x-axis.
It is located 7 units above x-axis.
The solution to this inequality is half-plane in (x,y)-coordinate plane,
whose points are all located below the line y = 7.
Having this description, you can sketch the solution set by shading the region below the line y = 7,
including the points on the line itself.
It means that on the sketch, line y = 7 should be shown as a solid line.
Solved.
Having my response and descriptions, you can make plots / (sketches) on your own.
I definitely don't want make these sketches for you or instead of you, since it is not the method to teach.
Now you are ready to complete the job on your own, because you have all necessary words in your mouth
and all necessary explanations/instructions in your mind.
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To see many solved problems on graphical solution of systems of inequalities
in two variables (on a coordinate plane), look into the lesson
- Solving systems of inequalities in two unknown graphically in a coordinate plane
in this site.
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