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To shade two-thirds of a circle, you first need to understand that a full circle represents 360 degrees. Two-thirds of a circle would then be 240 degrees (2/3 * 360 = 240). To visually represent this shading, you can start by drawing the full circle. Then, mark off 240 degrees of the circle, starting from any point on the circumference, and shade the area within those markings to represent two-thirds of the circle.
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Nothing particular. The graph of y = x2, for example, changes slope at each point on the graph.
The inequality -6 > x+5 can be rewritten -11 > x (by subtracting five from each side) or rather x < -11. To graph this on a number line, draw an open circle over the number -11 (if the inequality included "or equal to" the circle would be filled in). Then draw a line/arrow coming out of the circle over the number line. The line should only be drawn over the portion of the number line that makes the inequality true. For instance, choose a test point. When x is -20, the inequality is true: -20 < -11. So in this case, the arrow coming out of the open circle will point to the left, in the direction that the number line is getting smaller.
To graph the set of all the solutions to an equation in two variables, means to draw a curve on a plane, such that each solution to the equation is a point on the curve, and each point on the curve is a solution to the equation. The simplest curve is a straight line.