Question

graph y ≥ -x. o a) o b)

Explanation:

Step1: Identify the line equation

The boundary - line for the inequality $y\geq - x$ is $y=-x$. This is a straight - line with a slope of $m = - 1$ and a $y$ - intercept of $b = 0$.

Step2: Determine the line type

Since the inequality is $y\geq - x$ (a non - strict inequality), the boundary line is a solid line.

Step3: Test a point

We can test the point $(0,1)$. Substitute $x = 0$ and $y = 1$ into the inequality $y\geq - x$. We get $1\geq-0$, which is true. So, the region that contains the point $(0,1)$ is the solution region.

Answer:

B.