Question
Identify the point that is NOT part of the solution set.
- (0, 0)
- (-1, 5)
- (-10, -10)
- (5, 20)
Hint:
Here we have graph is given . Identify the option that is NOT a solution to systems of inequalities. We know that If the inequality is < or > line is dashed or if there ≤ or ≥ then the line solid on the graph and if function is along x-axis so its goes horizontally and if function is along y-axis so its goes vertically.
The correct answer is: (-10, -10)
Here we have to find the which point is not part of solution.
Firstly we have four points,
1st is (-1,5),
The point (-1, 5) is under the shaded region of the graph then is the solution.
2nd is (0, 0),
The point (0, 0) is under the shaded region of the graph then is the solution.
3rd is (5,20)
The point (5, 20) is under the shaded region of the graph then is the solution.
4th is ( -10 , -10)
The point (-10, -10) is NOT under the shaded region of the graph then is NOT the solution.
Therefore, the correct answer is (-10, -10).
Or,
The given graph is a bold/solid line where the portion above the line is shaded. So, the inequality symbol will be “≥”.
The points that lie in the shaded region is a part of solution set.
(-10, -10) is not part of the solution set because it does not fall in the shaded region.
In that question, we have to find the point that not part of solution to system of inequalities, to find solution we are giving the points is some point is solution then its must come under shading region on the graph. The look for the point which Not come under the shading region and that will be our answer.
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