Question

The shaded region is represented by the inequality:

• A. $y-2x\le -1$
• B. $x-2y\le -1$
• C. $y-2x\ge -1$
• D. $x-2y\ge -1$

Answer 1

The correct option is A $y-2x\le -1$

The equation of the line is given as
$y-2x=-1$
Now the shading is away from the origin.
Hence, at y=0 and x=0 the inequality is not true.
we know
$0>-1$
Hence at origin, the inequality must be of the type
$0<-1$ ....(since inequality is not true at origin).
Hence $y-2x<-1$
Also the points on the line is a part of the inequality.
Hence
$y-2x\le -1$