Question
Find the option that is a solution to the systems of inequalities.
- (0, 0)
- (1, 1)
- (-4, -2)
- (4, -2)
Hint:
Here we have graph is given . Identify the option that is 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: (-4, -2)
Here, we have to find the option that is solution to the systems of inequalities.
Firstly, Here we find the solution of the system inequalities, that means the point satisfy the equations or comes under the shading area,
We have, (a) (-4, -2)
It comes under the shading part then its must satisfy the system of inequalities, it is our solution.
(b) (4, 2)
It is also not under the shading area so it not satisfy the system of inequalities, it is not our solution.
(c) (1, 1)
It is also not under the shading area so it not satisfy the system of inequalities, it is not our solution.
(d)(0, 0)
It is also not under the shading area so it not satisfy the system of inequalities, it is not our solution.
Therefore the solution to the system of inequalities is (-4, -2)
The correct answer is (-4, -2)
(-4, -2) is the solution of the system because it falls in the shaded region.
In that question, we have to find the 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 come under the shading region and that will be our answer.
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