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Question
Solve the following inequations graphically in two-dimensional plane.
y ≤ – 2x
Solution
Consider the equation y = 2x.
This is the equation of a line passing through origin in third and fourth quadrant inclined.
more towards Y-axis.
Consider a point (2, 1).
Substitute in equation
y ≤ – 2x
⇒ 1 ≤ 2(2)
⇒ 1 ≤ – 4
shows that point (2, 1) does not satisfy the inequation.
The solution is in the other plane away from that point.
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