Consider each line as if it were an equation. For example,
3x+4y = 8
That describes a line in the x-y plane. But, you have an inequality. So, the solution is the entire half-plane below the line, where 3x+4y <= 8
Same for the other inequality.
So, the solution set for the system is the intersection of those two regions: the entire plane which is below both lines.
See the solution at
http://www.wolframalpha.com/input/?i=solve+3x+%2B+4y+%3C%3D+8%2C+2x+%2B+4y+%3C%3D+6
Which term best describes the solution of the situation represented by the system of inequalities? (Assume that x >= 0 and y >= 0.)
3x + 4y <= 8
2x + 4y <= 6
Answer choices given are:
a. alternate optimal solutions
b. one optimal solution
c. unbounded
d. infeasible
I have no clue how to do this and what they are asking for. (I can't seem to find any video covering this in Khan Academy either.)
1 answer
2 answers