Question

Find the solution set and label all corner points for the following systems. Is the solution set bounded or unbounded?

and label all corner points for the following system. Is x + 2y > 3 5x – 4y = 16 x20 O sys? Y ZOB YL2

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Answer #1

x + 2 y 3-0 5%-4y = 16-0 » x20 - ③ osy52-0 Step-1- forming the Graph y 3 2 2 - 2 2 2 ya -4 +5X Shaded postion is the feasibleStep 1: First, set the equation for y on one side of the equation and everything else on the other side, this makes it easy to draw the line on the graph.

Step 2: Plot the lines on the graph. And shade the required region. Shading is done as follows.

Since, y >= 3/2 - x/2 Hence, the upper portion of the line is shaded. If <= sign was used, The lower portion will be shaded.

Step 3: Feasible region is visible on the graph.

Step 4. Find the intersection points, that are required by removing the inequalities and placing equal to instead of them.

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