SOLUTION: Here is the question that I have.
On the coordinate plane, graph the compound inequality:
y > 6 or y ≥ x - 4
I am completely lost on this. I did not know you could g
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-> SOLUTION: Here is the question that I have.
On the coordinate plane, graph the compound inequality:
y > 6 or y ≥ x - 4
I am completely lost on this. I did not know you could g
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Question 650708: Here is the question that I have.
On the coordinate plane, graph the compound inequality:
y > 6 or y ≥ x - 4
I am completely lost on this. I did not know you could graph a compound inequality with more than one variable.
You can put this solution on YOUR website! you graph the following equations:
y = 6
y = x-4
this gets you the demarc lines.
this gets into logic as well.
your statement says you want to graph:
y > 6 OR y >= x-4
this means that you can have the region on the graph that is above the
line y = y OR you can have the region on the graph that is above or on
the line y = x-4 OR you can have both at the same time.
your statement could also have said you want to graph:
y > 6 AND y >= x-4.
this means that you can have the region on the graph that is above the
line y = 6 AND you can have the region on the graph that is above or on
the line y = x-4 at the same time.
bottom line is that you CAN graph multiple equations in x and y on the
same graph.
you look for the region that satisfies ALL of the requirements of the
problem.
keep in mind that OR means either A OR B OR both.
also keep in mind that AND means A AND B at the same time.
With AND they MUST occur at the same time.
With OR, they CAN occur at the same time but don't have to.
graphs of your equations are shown below for visual clarification.
THE FIRST GRAPH SHOWS THE LINES Y=6 AND Y=X-4.
THERE IS NO REGION INVOLVED.
JUST THE LINES THEMSELVES.
THE SECOND GRAPH SHOWS THE REGION THAT SATISFIES THE EQUATION Y > 6
NOTE THAT THE LINE IS DASHED WHICH INDICATES THE REGION DOES NOT INCLUDE ANY POINTS ON THE LINE ITSELF.
THE THIRD GRAPH SHOWS THE REGION THAT SATISFIES THE EQUATION Y >= X-4
NOTE THAT THE LINE IS SOLID WHICH INDICATES THE REGION INCLUDES ALL POINTS ON THE LINE ITSELF.
THE FOURTH GRAPH SHOWS THE REGION THAT SATISFIES THE EQUATIONS OF Y > 6 OR Y >= X-4.
NOTE THAT THIS REGION INCLUDES ALL THE REGION THAT SATISFIES THE EQUATION Y > 6 AND ALL THE REGION THAT SATISFIES THE EQUATION Y >= X-4. IT CAN SATISFY THE EQUATION Y > 6 WITHOUT SATISFYING THE EQUATION Y >= X-4, OR IT CAN SATISFY THE EQUATION Y >= X-4 WITHOUT SATISFYING THE EQUATION Y > 6, OR IT CAN SATISFY BOTH AT THE SAME TIME.
THE FIFTH EQUATION SHOWS THE REGION THAT SATISFIES BOTH THE EQUATIONS Y > 6 AND THE EQUATION Y >= X-4 AT THE SAME TIME.
IT HAS TO SATISFY BOTH AT THE SAME TIME.
THIS CAN ONLY HAPPEN WHEN THE REGION IS ABOVE THE LINE Y > 6 AND ABOVE OR ON THE LINE Y >= X-4 AT THE SAME TIME.
