Respuesta :

Answer:

  • C. y ≤ -2x - 2

Step-by-step explanation:

Lets analyze the graph:

  • 1. It is decreasing function as line goes down as x-value increases. It means the slope is negative. We have two same negatives: -2
  • 2. Line is solid, so the inequality sign is either ≤ or ≥
  • 3. Shaded region is 'under' the line, it means the sign is ≤

Based on above observations and the fact that all have same y-intercept of -2, we can say required inequality is:

  • y ≤ -2x - 2

Correct option is C