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Write a system of inequalities for the graph shown to the right.
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Write a system of inequalities for the graph shown to the right. % 10-example-1
User Bagui
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The system of inequalities for the graph shown is: B. y ≥ -5x + 5, y < 2x - 5.

How to write the system of inequalities?

The slope of the red dashed line = change in y / change in x =
\[ m = (5 - (-5))/(5 - 0) = (10)/(5) = 2 \]

The red line is dashed and the shaded portion is below it, we will use the sign "<", and since it intercepts the y-axis at y = -5, the y-intercept is -5. Therefore, the inequality for the red line is:

y < 2x - 5.

The slope of the blue solid line (m) = -5/1 = -5.

The blue line solid and the shaded portion is above it, we will use the sign "≥", and since it intercepts the y-axis at y = 5, the y-intercept is 5. Therefore, the inequality for the red line is:

y ≥ -5x + 5.

The system is: B. y ≥ -5x + 5, y < 2x - 5.

User Renise
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