The region covered by y ≥ x-1 is the line y = x-1 and the region above it, shown by graph D(given by Option B).
How to draw regions covered by inequalities?
Suppose there is inequality given as: y ≥ f(x)
The region it covers is the region of value pairs (x,y) for which this inequality holds true.
We've to draw the region covered by it.
For a function y = f(x), there is y > f(x) on one side of the graph of the function y = f(x) in XY plane, and on other side there is y < f(x).
We just need to figure out this fact at 1 point on either side of the graph of the function y = f(x) , and then the area where y > f(x) is true, along with the curve of the function y = f(x) is included in the region covered by inequality y ≥ f(x)
For this case, we've to draw the region covered by inequality y ≥ x-1
Firstly draw the line y = x -1
Take x = a (for some value a), and move vertically up above the line y = x-1.
You see, the region above y = x-1 is the region where x is same, but y increased than the value of y from y =x-1
That means in region above y =x-1, we have y > x-1
Thus, the region covered by y ≥ x-1 is the line y = x-1 and the region above it, shown by graph D(given by Option B).
Learn more about graphing inequalities here:
https://brainly.com/question/19598687
