Which inequations represent the shaded region in the given figure

Options

A. `y gt 0, x + y le 3, x-y ge -3`
B. ` x ge 0, xpm y le 3`
C. `y ge 0, x pm y gt -3, -3 le x`
D. ` x ge 0, x pm y le -3`

Answer

A

Explanation

In the shaded region, y is non-negative ,
`:. y ge 0`
Intercepts of `l_(1)` arc 3,3.
And the region contain origin `implies x +y le3`.
Intercepts of `l_(2)` are -3,3, and the origin .
`x-y ge -3`.