SOLUTION: Whats the graph of... y>2x-4 4y-x less than or equal to sign 16

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Question 1151030: Whats the graph of...
y>2x-4
4y-x less than or equal to sign 16

Found 2 solutions by MathLover1, ikleyn:
Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!


Solved by pluggable solver: Plot Any Inequality
Graphing function :






Solved by pluggable solver: Plot Any Inequality
Graphing function :


Answer by ikleyn(52847)   (Show Source): You can put this solution on YOUR website!
.

Your original inequality is THIS


    y > 2x - 4.


You draw the straight line  y = 2x - 4 in the coordinate plane.


This straight line divides the coordinate plane in two half-planes.


The solution to your inequality is the set of ALL points of the coordinate plane that are ABOVE the straight line.


Since inequality is a strict inequality, the points on the straight line are not included to the solution set.


ANSWER.  The solution set to the given inequality is the set of all points of the coordinate plane that are strictly above the line y = 2x - 4.

If you want, you may color the upper half-plane in red to clearly show the solution set.

---------------

To be honest, from your post I didn't clearly understand if you ask about one or two inequalities.

My explanation is given for the first single inequality.


If you need to solve the system of two inequalities, then it should be clearly, directly and explicitly said in the post.


Note that the line with the second inequality is unreadable in the Mathematical sense.


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If you want to learn on solving systems of inequalities, look into my lesson
    - Solving systems of inequalities in two unknown graphically in a coordinate plane
in this site.


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