JozelynW
  • JozelynW
I know where two lines intersect is the solution for a set of linear equations. But for linear inequalities how do you find the solution????
Algebra
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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Vocaloid
  • Vocaloid
start by writing both inequalities in the form y = ________ if y < _____, shade below the line if y > _____, shade above the line the solution will be the area where the shaded parts overlap (unlike linear equations, the solution isn't going to be just one point. it will be a region of points)
Vocaloid
  • Vocaloid
also, for < and >, use a dotted line. for <= and >=, (greater than or equal to/less than or equal to) use a solid line
Vocaloid
  • Vocaloid
quick example: y > x + 2 y < 2x + 5

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Vocaloid
  • Vocaloid
start by graphing y = x + 2 and y = 2x + 5 using dotted lines
JozelynW
  • JozelynW
righttt but ik there isnt one solution so give me an example
JozelynW
  • JozelynW
what would an answer
Vocaloid
  • Vocaloid
|dw:1444609359427:dw| (pretend the line is dashed)
Vocaloid
  • Vocaloid
since this is a greater than symbol, I shade everything above this line
Vocaloid
  • Vocaloid
|dw:1444609430391:dw|
Vocaloid
  • Vocaloid
then I graph the other line
Vocaloid
  • Vocaloid
|dw:1444609468639:dw|
Vocaloid
  • Vocaloid
then I shade everything below this line
Vocaloid
  • Vocaloid
|dw:1444609493176:dw|
Vocaloid
  • Vocaloid
the part where the shading overlaps is the solution set
Vocaloid
  • Vocaloid
|dw:1444609532236:dw|
Vocaloid
  • Vocaloid
so, if it asks for a solution, you can pick any point that falls within that shaded area up there
Vocaloid
  • Vocaloid
I think (1,5) falls within the shaded region, so that's one possible solution
Vocaloid
  • Vocaloid
does that make things a bit more clear?
JozelynW
  • JozelynW
how would you write the solution out tho
Vocaloid
  • Vocaloid
you can't, there are an infinite number of solutions
Vocaloid
  • Vocaloid
the best you can do is show them the graph and list out a few possible solutions
jim_thompson5910
  • jim_thompson5910
If you have a closed solution region, and you're only recording points with integer coordinates, then it is possible to list all of the solutions. Other than that, there would be infinitely many solutions and it is best to use a graph to show the solution set.
JozelynW
  • JozelynW
Ok thank youuuuu.....
jim_thompson5910
  • jim_thompson5910
In your case, the solution region isn't closed because it continues on forever in this direction |dw:1444609982769:dw|

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