For this case, we must indicate which of the given graphs corresponds to the following inequality:
[tex]y\geq 1-3x[/tex]
If we substitute the point[tex](x, y) = (0,0)[/tex] we have:
[tex]0> = 1-3 (0)\\0> = 1[/tex]
It is not met, so we discard options A and C.
It is observed that the lines of option B and D correspond to the equation[tex]y = 1-3x[/tex]. But the dotted line of option B indicates that the region given by: [tex]y> 1-3x[/tex] is plotted
Thus, the region that indicates[tex]y\geq 1-3x[/tex] is option D
Answer:
Option D
