Mathematics
Grade10
Easy

Question

Consider the function y < 2x + 3, find the true statement.

  1. The line would be solid with shading above.
  2. The line would be dashed with shading above.
  3. The line would be solid with shading below.
  4. The line would be dashed with shading below.

hintHint:

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 dashed 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 no equals so line dashed because value is not included.
    And if we put x = 0 so line is y < 3 so it is less than 3 and 3 is not included
    So line is dashed and shading below.
    Therefore, The line would be dashed with shading below.
    The correct answer is The line would be dashed with shading below.
    or,
    The inequality symbol used is < (less than), so, the line should be dashed and the portion below the line is shaded.
    The statement “The line would be dashed with shading below” matches with 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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