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 below.
Here we have to find the which of following is true.
Firstly , we have given y ≤ 2x + 3
So its inequality sign is less and have equals so line solid because value is included.
And if we put x = 0 so line is y ≤ 3 so it is less than 3 and 3 is included
So line is solid and shading below.
Therefore, The line would be solid with shading below.
The correct answer is The line would be solid with shading below.
Or,
Since the inequality symbol is ≤, the boundary line will be thick and the portion below the line will be shaded.
The statement “The line would be solid with shading below” 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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