Describe the set of points satisfying the inequality 2x+y<=0
To solve this, we'll rewrite the inequality in terms of y, then graph it to visually see the points.
Subtract y from each side:
==> 2x <= -y
Multiply each side by -1. Note that this flips the inequality:
==> -2x >= y
==> y <= -2x
Therefore the set of points that satisfies 2x+y <= 0 is all points on or below the line y = -2x: