Question

qualities shown below. for each section of the graph, select the correct
y ≤ -2x + 5
y < -2x + 5
y ≥ -2x + 5
y > -2x + 5

Explanation:

Step1: Check Line Type

The boundary line for the blue region is solid (since the points on the line are filled, like the blue dots), so the inequality should include equality (≥ or ≤).

Step2: Check Region Position

The blue region is above the line \( y = -2x + 5 \). For a linear inequality, if the region is above the line \( y = mx + b \), the inequality is \( y \geq mx + b \) (when the line is solid). Here, the line is \( y = -2x + 5 \), and the blue region is above it, so the inequality is \( y \geq -2x + 5 \).

Answer:

\( y \geq -2x + 5 \) (corresponding to the option \( y \geq -2x + 5 \) in the dropdown)