1.

Find the point which does not lie in the half plane 2x + 3y − 12 ≤ 0.

Answer»

Given equation of half plane is 2x + 3y − 12 ≤ 0.

Then, point on half plane 2x + 3y − 12 > 0 does not lie in the given half plane.

⇒ 2x + 3y > 12.

Points which satisfies inequality 2x + 3y > 12 does not lie on the given half plane.

Point (1, 4) satisfies inequality 2x + 3y > 12.

Therefore, the point (1, 4) does not lie on the given half plane.



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