SOLUTION: i need to graph and find the vertice for {{{2x-5y>4 5x+y>10 7x-4y<41}}} i don't know how to do it I've tried using yall's calculator but it only lets me add one not all three

Algebra ->  Graphs -> SOLUTION: i need to graph and find the vertice for {{{2x-5y>4 5x+y>10 7x-4y<41}}} i don't know how to do it I've tried using yall's calculator but it only lets me add one not all three      Log On


   



Question 347163: i need to graph and find the vertice for
2x-5y%3E4%0D%0A5x%2By%3E10%0D%0A7x-4y%3C41
i don't know how to do it I've tried using yall's calculator but it only lets me add one not all three and its all one question please if you could and thank you

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Graph each of your inequalities using the following steps.

Step 1: Change the relationship symbol to "=". Graph the resulting line. If the original relationship symbol was or , do it with a dashed or broken line. If your symbol was or , graph the equation with a solid line.

Step 2: Pick any point on the coordinate plane that does not lie on the line you just graphed. If the line does not pass through the origin, then the origin is an excellent choice for this step. If the line does pass through the origin, select a point other than the origin -- I recommend a point that has small integer coordinates.

Step 3: Substitute the values of the coordinates of the point chosen in Step 2 for the corresponding variables in the inequality you started with in Step 1.

Step 4: Do the appropriate arithmetic to determine whether the substitution created a true statement or not. If you created a true statement, shade in the side of the line containing the point selected in Step 2. If you created a false statement, shade in the side of the line that does not contain the selected point.

Once you have graphed each of the inequalities, the solution set of your system will be where the three shaded areas overlap. Since all of the inequality signs do NOT include equality, none of the boundary lines are included.

John

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