Task+2

__ **Task 2** __


 * // Use the link below to complete all of Task 2. //**

@http://www.mathwarehouse.com/algebra/linear_equation/systems-of-equation/interactive-system-of-linear-inequality.php


 * 1) Identify 3 solutions to the system of inequalities shown.
 * 2) What is one point that is a solution to only on inequality, but not the other?
 * 3) By graphing the points on the line, you can change the position of the lines.
 * 4) Graph the point (2, 6) and drag it to the left until the purple shading switches to the other side of the line. Explain why this happens.
 * 5) What would you need to change about the equation to keep the purple shading on the right side of the line?
 * 6) Use the points that are (blue/green) to move the lines around.
 * 7) One line needs to represent the inequality y< -1/3x-2. (You an change the inequality symbol in the equation by clicking on it.)
 * 8) If the points you are moving are not snapping to the grid at even integers, you need to press the “toggle snap”, green button, on the right.
 * 9) Move the second line to show the inequality y<= 2x +1.
 * 10) Take a screenshot of your graph and embed it onto your wiki page.
 * 11) Which of the blue/green points are solutions to the system of inequalities? Explain how you know.
 * 12) What will be a common error that students make in choosing the blue/green points that are solutions? Explain what their misconception (error in their thinking) might be.
 * 13) Let’s say that there was no shading on these graphs and that a system of EQUATIONS is represented rather than a system of inequalities.
 * 14) Now, place one line so that it represents y = -0.5x+3.5.
 * 15) The other line should have its blue/green points on (-2, 6) and (-1, 7).
 * 16) What would the solution be if this were a system of equations.
 * 17) Prove that this is the solution to the system algebraically.