Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Linear Programming

Question:

The solution set of the inequation $4x + 3y > 5$ is

Options:

half plane that contains the origin

open half plane not containing the origin

whole xy-plane except the points lying on the line $4x + 3y = 5$

lying only on first quadrant

Correct Answer:

open half plane not containing the origin

Explanation:

The correct answer is Option (2) → open half plane not containing the origin **

Test the origin (0,0) in the inequality:

$4(0)+3(0)=0$

$0>5$ is false.

So the origin does NOT satisfy the inequality.

The solution set is the open half-plane not containing the origin.