Question

Select the points that are solutions to the system of inequalities. Select all that apply

Answer 1

Point C and point D are solutions of the system.

Explanation:

To find the points that are solutions, we just have to look for those that are inside the shaded area.

Solution points refer to those values that satisfy the system of inequalities, which is a shaded area, because the solution is infinite in this case.

So, the points C (2,4), is inside the shaded are, that means, it's solution of the system. Similarly, point D (10,-1) is also inside the shaded are just below the x-axis.

Therefore the right answers are C and D.

Answer 2

(2,4) and (10,-1) are the solutions but not the others.

Explanation:

See the graph of the solution of two different inequalities that is attached to this question.

The blue shaded region gives the solution as points lie in this region.

Now, the point (0,-10) does not lie in the shaded region, hence, it is not a solution.

The point (-2,0) also does not lie in the shaded region, hence, it is not a solution.

The point (2,4) lies in the shaded region, hence, it is a solution, and the point (10,-1) lies in the shaded region, hence, it is a solution. (Answer)