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Math Help - Graphing inequalities

  1. #1
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    Graphing inequalities

    I have to choose a system of inequalities that corresponds to a graph I have. My graph is of a circle with the center being (0,0) in the center. A line is drawn from the (-[sqrt]5, [sqrt]5) the 315 deg. position to the ([sqrt]5, -[sqrt]5) the 135 deg. position. Everything from 315 deg. to 360 deg. and from 000 deg. to 135 deg. is shaded in. I'm not sure how to draw it on this page or I would.

    Possible answers are:
    a. {x<y
    {x[squared]+y[squared]<10

    b. {x>y
    {x[squared]+y[squared]<10

    c. {x-y>0
    {x[squared]+y[squared]<10

    d. {x+y>0
    {x[squared]+y[squared]<10
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  2. #2
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    Quote Originally Posted by mike1 View Post
    I have to choose a system of inequalities that corresponds to a graph I have. My graph is of a circle with the center being (0,0) in the center. A line is drawn from the (-[sqrt]5, [sqrt]5) the 315 deg. position to the ([sqrt]5, -[sqrt]5) the 135 deg. position. Everything from 315 deg. to 360 deg. and from 000 deg. to 135 deg. is shaded in. I'm not sure how to draw it on this page or I would.

    Possible answers are:
    a. {x<y
    {x[squared]+y[squared]<10

    b. {x>y
    {x[squared]+y[squared]<10

    c. {x-y>0
    {x[squared]+y[squared]<10

    d. {x+y>0
    {x[squared]+y[squared]<10
    Hello,

    I've attached a diagram to show you what I've done:

    According to your problem the circle has the equation:

    x^2+y^2=10

    The coordinates of all points which lay inside the circle satisfy the inequality

    x^2+y^2 \leq 10

    The given straight line has the equation y = -x. You are looking for points situated above this line. Therefore y ≥ -x.

    Therefore answer d. is correct if the 2 statements are connected by a logical and, that means \wedge.

    EB
    Attached Thumbnails Attached Thumbnails Graphing inequalities-krs_gerad_unglg.gif  
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