Answer:
Step-by-step explanation:
Each boundary line equation is of the form ...
y = mx + b
the value of m is the coefficient of x. The value of b is the constant. You find their values by matching the given relation to the form above, and identifying the matching parts.
y ≤ 1/2x +2 ⇒ m = 1/2, b = 2
y < -2x -3 ⇒ m = -2, b = -3
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The slope (m) in each case tells you how many units up (m>0) or down (m<0) the line will go for each unit to the right. The y-intercept (b) in each case gives you a starting point on the y-axis, making it easier to draw the line.
The < part of each inequality symbol tells you the graph will be shaded below the boundary line. (Y-values in the solution set are less than those on the line.) The "or equal to" part of the first inequality symbol tells you the boundary line will be solid. (Y-values on that line are part of the solution set.) The lack of that in the second inequality tells you the boundary line will be dashed.
The graph is shown in the attachment.
