Question

The shaded region is represented by:

• A. $4x–2y\le 3$
• B. $4x–2y\le –3$
• C. $4x–2y\ge 3$
• D. $4x–2y\ge –3$

Answer 1

The correct option is B

$4x–2y\le –3$

Explanation for the correct answer:

Finding the equation of the shaded region:

Since the given equation of the line in the diagram is $4x–2y=–3$

And we have to find the shaded region, from the diagram the shaded portion is outside the given line away from the origin.

Since the portion $ABO$ will represent $4x-2y\ge -3$

Therefore, the shaded region represents $4x–2y\le –3$

Therefore, the correct answer is option (B).