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Use the image to answer the question.

Which linear inequality matches the given graph?

(1 point)
Responses

y≤2x+2
y less-than-or-equal-to 2 x plus 2

y>2x+2
y greater than 2 x plus 2

y<2x+2
y less than 2 x plus 2

y≥2x+2

1 answer

To determine which linear inequality matches the given graph, you would typically look for the following features in the graph:

  1. Line Type: If the boundary line is solid, the inequality includes "equal to" (≥ or ≤). If the boundary line is dashed, the inequality does not include "equal to" (> or <).

  2. Shading: If the area typically above the line is shaded, it indicates a greater than inequality (> or ≥). If the area below the line is shaded, it indicates a less than inequality (< or ≤).

Assuming you have these elements in the graph:

  • If the line is dashed and the shaded area is below the line, the corresponding inequality would be y < 2x + 2.
  • If the line is dashed and the shaded area is above the line, it would be y > 2x + 2.
  • If the line is solid and the shaded area is below the line, it would be y ≤ 2x + 2.
  • If the line is solid and the shaded area is above the line, it would be y ≥ 2x + 2.

Without seeing the graph, I cannot specify which one of these inequalities matches, but you can use the points above to deduce the correct inequality based on those characteristics.