How do you graph the system of inequalities #Y ≥ - 5#, #Y ≤ 2x + 5#, #Y ≤ -2x + 5#?
Please see below.
For drawing the graph of a linear inequality, one needs to first draw the graph of the equation (i.e. with 'equal(=)' sign), which is a straight line.
Now this line divides the Cartesian Plane in three parts - (a) the line itself, on which every point satisfies the equality; (b) this line divides plane in two parts, and in one of them the function will satisfy 'greater than' condition and in the other, it will satisfy 'less than' condition.
For graphing, one may shade the required region. The line in such cases may be shown as 'dotted' indicating points on the line are 'not included'.
For condition 'greater than or equal to', it will be the line along with the region in which it is 'greater than' and in such cases line is shown as 'thick line' and the region representing 'greater than' will be shaded. The line is drawn as thick to indicate that points on the line are included in solution set.
For example, in
Similarly draw graphs of
The graphs should appear as follows: