Question

The shaded region is represented by the inequation:

• A. $y\ge x$
• B. $y\ge -x$
• C. $y\ge \left|x\right|$
• D. $y\le \left|x\right|$

Answer 1

Answer: (C)

$y\ge \left|x\right|$

The equations of both the lines in the above graph are
$y=-x$ and $y=x$
Hence if we put them together we get
$y=|x|$
Now
Let us take a point inside the shaded region.
Let it be $(0,2)$
Now
$2>0$
$y>|x|$
Hence the required inequality is
$y\ge |x|$.