The region satisfying the inequality 3x

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Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Three-dimensional Geometry

Question:

The region satisfying the inequality 3x + 7y > 21 is

Options:

The whole XOY plane excluding the points on the line 3z + 7y = 21

The half plane that neither contains origin nor the points of the line

The Entire XOY-plane.

The Half plane that contains the origin.

Correct Answer:

The half plane that neither contains origin nor the points of the line

Explanation:

3x + 7y > 21, put (0, 0)

0 > 21 which is false

∴ Shade covers the half plane away form origin.

Origin and points of line are not included.