math help with graphing upgrade

User Generated

nyvanfy

Mathematics

Description

Determine graphically the solution set for the system of inequalities and indicate whether the solution set is bounded or unbounded.

x + y  4 (less or equal then)
2x + y  6 (less or equal then)
2x - y  -1 (greater or equal then)

x  0, y  0 (both greater or equal then)

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Explanation & Answer

You need to graph each of the lines and shade the area that satisfies the inequality. I graphed the lines by finding the x and y intercept for each line. (Plug in 0 for x, then 0 for y) the solution set is the area that satisfies all of the inequalities. In this case, the area shaded by all five different colors. In this case, red, blue, green, brown, and tan. It is bounded. I have outlined the solution set. 


See attached image.image.jpg


Anonymous
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