Which system of linear inequalities is represented by the graph?

x – 3y > 6 and y > 2x + 4
x + 3y > 6 and y > 2x – 4
x – 3y > 6 and y > 2x – 4
x + 3y > 6 and y > 2x + 4

Which system of linear inequalities is represented by the graph x 3y gt 6 and y gt 2x 4 x 3y gt 6 and y gt 2x 4 x 3y gt 6 and y gt 2x 4 x 3y gt 6 and y gt 2x 4 class=

Respuesta :

The blue line has a slope of 2 and a y-intercept of +4. Its equation is
  y = 2x +4
The shaded area is above the line, so it is the boundary of the inequality
  y ≥ 2x + 4

The red dashed line has a slope of -1/3 and a y-intercept of 2. Its equation is
  y = -1/3x + 2
The shaded area is above the line, so it is the boundary of the inequality
  y > -1/3x + 2
or
  x +3y > 6

The graph seems to represent the inequalities
  x +3y > 6 and y ≥ 2x +4

Answer:

So the answer is D

Step-by-step explanation: