Question

The graph below is represented by which system of inequalities? two lines graphed on a coordiante plane. One line is solid and passes through (-2, 0) and (0, 4), shading is below this line. The other line is dashed and passes through (4, 0) and (0, 4), shading is below this line. -4x + 2y less than or greater to 8 y < -x + 4 -4x + 2y < 8 y less than or greater to -x + 4 -4x + 2y greater than or equal to 8 y > -x + 4 -4x + 2y greater than or equal to 8 y < -x + 4

Answer 1

OK first read over your problem. When you read it back, does it seem legible to you? I mean, in the fourth line, you wrote and I quote "-4x + 2y less than or greater to 8"? less than or greater to 8"? Does that make any sense? Hence pay attention to what you post, if for no other reason than to be courteous and respectful to those that want to help you. Alright, now having said that, the equation of the line passing through the points (-2, 0) and (0,4) is y = 2x + 4 or 2x - y + 4 = 0. Since this is represented with a solid line that is shaded below, it will be represented by the inequality y ≤ 2x + 4. Similarly the equation of the line passing through (4, 0) and (0, 4) is y = -x + 4. Since it is a dashed line that is shaded below, it will be represented by the inequality y < -x + 4.