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algebra

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Graph the system of inequalities

x (lesser or equal to sign)2
y (greater or equal to sign)-2x+4

I am having trouble understanding what points to plot on the graph and also how the graph should be shaded (if at all).

  • algebra - ,

    They are not points.

    for x<=2, make a vertical line at x=2
    for y>= 2x+4, plot the line y=2x+4. Graph a few points, then connect them in a line.

    Now the solution area will be when y is above the slanted line and x is to the right of the vertical line.

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