Question
Find the option that is not a solution to this system of inequalities.
- (0, -1)
- (0, 3)
- (4, 0)
- (6, -2)
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 answers are: (0, -1), (4, 0)
Here we have to find the which point is not part of solution.
Firstly we have four points,
1st is (0,-1),
The point (0, -1) is under the shaded region on the graph but is on the dashed line then its NOT considered. then it is not the solution.
2nd is (4, 0),
The point (4, 0) is under the shaded region of the graph then is the solution.
3rd is (0,3)
The point (0, 3) is under the shaded region of the graph then is the solution.
4th is ( 6 , -2)
The point (6, -2) is under the shaded region of the graph then is the solution.
Therefore, the correct answer is (0, -1).
(0, -1) is not a solution because it falls on the red boundary line.
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. If dashed line is there then value is not taken that’s why we use <, > signs not equal sign.
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