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)
also, for < and >, use a dotted line. for <= and >=, (greater than or equal to/less than or equal to) use a solid line
quick example: y > x + 2 y < 2x + 5
start by graphing y = x + 2 and y = 2x + 5 using dotted lines
righttt but ik there isnt one solution so give me an example
what would an answer
|dw:1444609359427:dw| (pretend the line is dashed)
since this is a greater than symbol, I shade everything above this line
then I graph the other line
then I shade everything below this line
the part where the shading overlaps is the solution set
so, if it asks for a solution, you can pick any point that falls within that shaded area up there
I think (1,5) falls within the shaded region, so that's one possible solution
does that make things a bit more clear?
how would you write the solution out tho
you can't, there are an infinite number of solutions
the best you can do is show them the graph and list out a few possible solutions
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.
Ok thank youuuuu.....
In your case, the solution region isn't closed because it continues on forever in this direction |dw:1444609982769:dw|