Question

Asked Oct 30, 2019

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Graph the solution set for the of linear inequalities

x+y<3

y>x

y>-1

Step 1

To identify the region consisting of the set of points (x,y) in the plane satisfying all the three inequalities

Step 2

To solve a single linear inequality, convert that to an equality, which defines a straight line in the plane .The solution to the inequality is that region which contains a test point (not on the straight line) which satisfies the inequality. The set of points on the straight line is also included if the inequality is NOT strict (otherwise excluded). In the graph , the firs inequality is solved. The test point is (0,0), satisfying x+y=0+0<3. The straight line x+y=3 is not included.

Step 3

Solution set for y>x. Draw the line y=x, choose the test point (0,1) satisfying the inequality. The so...

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