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Graph

Solve the following inequation graphically in the two-dimensional plane.

y ≥ 3

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#### Solution

Given, inequation is y ≥ 3

∴ corresponding equation is y = 3

It is a line parallel to X-axis passing through the point A(0, 3)**Origin test:**

Substituting y = 0 in inequation, we get

0 ≥ 3 which is false.

∴ Points on the origin side of the line do not satisfy the inequation

∴ Points on the non-origin side of the line satisfy the inequation

∴ all the points on the line and above it satisfy the given inequation.

The shaded portion represents the solution set.

Concept: Graphical Solution of Linear Inequality of Two Variable

Is there an error in this question or solution?

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