Pre-Algebra
Answers
Graphically, these inequalities mean the same thing, so we can plot them together on the same graph. To graph them, we first need to create a number line for each of x and y and plot a boundary line for each.
For example, let's set the x-axis from -3 to 3, and the y-axis the same.
For the x + y < 3 inequality, draw a diagonal line from the point (-3,3) to (3,-3). Anything UNDER this line is a valid point.
For the x > -2 inequality, draw a vertical line at x = -2, which is on the -3 to 3 number line. Anything to the right of this line is a valid point.
The intersection of the two lines will contain all valid points, and will form the graph. Anything inside the shape it forms is a valid point.