Question

Question #cdb9e

Answer 1

(E)

Explanation:

`y>=0` looks like:

graph{y>=0 [-10, 10, -5, 5]}

`y<=x` looks like:

graph{y<=x [-10, 10, -5, 5]}

We can already rule to (A).

Since `y>=2` looks like:

graph{y>=2 [-10, 10, -5, 5]}

We can rule (C) out.

Also, since `x>=0` looks like:

graph{x>=0 [-10, 10, -5, 5]}

and `y>=x` looks like:

graph{y>=x [-10, 10, -5, 5]}

We can rule out (B).

So the answer has to be (D) or (E). You could have arrived to the same conclusion by observing that the shaded region is enclosed by 3 lines NOT 2.

Finally, since (D) and (E) are the same except for if `y>=2` or `y<=2`.

It's clear that `y>=2` is the correct inequality so (E) is the right answer.