Question

3. Study the inequality below.Find some coordinate pairs that represent solutions to the inequality and some coordinate pairs that do not represent solutions. Plot both sets of points.Plot enough points until you start to see the region that contains solutions and the region that contains non-solutions.

Answer 1

Given:

x+y>10

To find the region that contains the solutions and contains the non-solutions:

Let us find some points that represents the solutions:

Put x=5 and y=6, we get 11>10

Therefore, (5, 6) is a point that represents the solution.

Put x=6 and y=5, we get 11>10

Therefore, (6, 5) is a point that represents the solution.

Put x=5 and y=7, we get 12>10

Therefore, (5, 7) is a point that represents the solution.

Put x=7 and y=5, we get 11>10

Therefore, (7, 5) is a point that represents the solution.

Let us find some points that do not represents the solutions:

Put x=0 and y=1, we get 1>10 which is wrong.

Therefore, (0,1) is a point that do not represents the solution.

Put x=1 and y=0, we get 1>10 which is wrong.

Therefore, (1,0) is a point that do not represents the solution.

Put x=1 and y=1, we get 2>10 which is wrong.

Therefore, (1,1) is a point that do not represents the solution.

Put x=1 and y=2, we get 3>10 which is wrong.

Therefore, (1,2) is a point that do not represents the solution.

Since, the intercepts are (0, 10) and (10, 0)

Then, plot these points on graph, we get