Question
Consider the function y ≥ 2x + 3, find the true statement.
- The line would be solid with shading above.
- The line would be dashed with shading above.
- The line would be solid with shading below.
- The line would be dashed with shading below
Hint:
Here , function is given y ≥ 2x + 3, We have to find the which option is true. 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: The line would be solid with shading above.
Here we have to find the which of following is true.
Firstly , we have given y ≥ 2x + 3
So its inequality sign is less not any equals so line dashed because value is not included.
And if we put x = 0 so line is y ≥ 3 so it is greater than 3 and 3 is included
So line is solid and shading above.
Therefore, The line would be solid with shading above.
The correct answer is The line would be solid with shading above.
or,
The inequality symbol used is ≥ (greater than or equal to), so, the line should be solid/thick and the portion above the line is shaded.
The statement “The line would be solid with shading above” is true for the given inequality.
In this question, we have given a function of y which is y ≥ 2x + 3 and with that we have to find about line. Always remember rule of inequality , 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.
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