203k views
2 votes
X+y<1 2y>x-4Please show me a graph of what this looks like on a graph

User Zork Media
by
5.0k points

1 Answer

2 votes

Check the graph below, please

1) The first thing to do in this question is to find the lines, to do that we need to rewrite them as equations just to know where the lines are in the graph

2) So, let's set two t-tables for x+y=1 and 2y=x-4. Then we'll insert random values for x, and then we plug these values into the function to get the y-values

So we get the points (-2,3), (-1,2), (0,1), (1,0), (2,-1)

And now the second t-table, note that we need to rewrite it into the Slope form for convenience:

So the points (-2,-3), (-1,-2.5), (0,-2), (1,-1.5), (2,-1)

Note that these inequalities are greater than and lesser than, so we'll trace dashed lines

The darkest region represents the area where the possible solutions are.

X+y<1 2y>x-4Please show me a graph of what this looks like on a graph-example-1
X+y<1 2y>x-4Please show me a graph of what this looks like on a graph-example-2
X+y<1 2y>x-4Please show me a graph of what this looks like on a graph-example-3
User Bummzack
by
4.7k points