Answer:
D
Step-by-step explanation:
The linear inequality has the same properties of its equation as slope intercept does. This means [tex]y\leq mx+b[/tex] where m is the slope and b is the y-intercept. The y-intercept here is 1 and it has a positive slope of 1. Then test a point to determine in the shaded region to determine the sign.
(0,0) --->[tex]0\leq 1(0)+1[/tex] --->[tex]0\leq 1[/tex] is true so (0,0) is in the shaded portion. This means C or D are options.
The quadratic inequality has the same properties as a quadratic equation. Since we have only two options now, let's test the point (1,0) in each.
(1,0)
[tex]y\geq x^{2} -3x\\0\geq (1)^2-3(1)\\0\geq 1-3\\0\geq -2\\true[/tex]
D is the solution
