How would you solve the system, y is greater than or equal to x+1 y is less
than or eqal to -2x-3
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You don't "solve" it, you graph the solution set:
y > x+1
y < -2x-3
Form the boundary equations by replacing the inequality symbols with
equal signs
y = x+1
y = -2x-3
First draw the graph of y = x+1 by finding two points, say (0,1) and (1,0) and
drawing a line through them. I'll draw it red:
Now on the same set of axes, draw the graph of y = -2x-3 by finding two points,
say (0,-3) and (-1,-1) and drawing a line through them. I'll draw it green:
y > x+1
y < -2x-3
Now you're supposed to shade the wedge which is above the red line (above
because it's "y >"), and also below the green line, (below because it's "y <"
I can't do that on here, but it's the v-shaped wedge on the left.
Edwin
