Find a linear inequality with the following solution set. Each grid line represents one unit.
Let's see the equation of the line first. Choose two arbitrary points, say $(0,1), (1,0).$ We find the slope to be $1.$ The y-intercept is also $1,$ so our equation is $y = x + 1$(if it wasn't already trivial.)
We see that it cannot be less, and the line is straight not dotted, so the equation is $y \geq x + 1.$