Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Numbers, Quantification and Numerical Applications

Question:

The solution set of the inequality $3x+4y≤12$ is:

Options:

half plane that contains the origin excluding the points on the line $3x+4y = 12.$

half plane that doesn't contain the origin

the entire plane excluding the points on the line $3x+4y = 12 $

the half plane that contains the origin including the points on the line $3x+ 4y = 12 $

Correct Answer:

the half plane that contains the origin including the points on the line $3x+ 4y = 12 $

Explanation:

The correct answer is Option (4) → the half plane that contains the origin including the points on the line $3x+ 4y = 12 $

The solution set of the inequality $3x+4y≤12$ is the half-point that contains the origin, including the points on the line $3x+4y=12$.