Questions: Which linear inequality does the graph correspond to? y ≤ 2x-1 y > 2x-1 y < 2x-1 y ≥ 2x-1

Transcript text: Which linear inequality does the graph correspond to? $y \leq 2 x-1$ $y>2 x-1$ $y<2 x-1$ $y \geq 2 x-1$

Solution

Solution Steps

Step 1: Identify the boundary line equation

The boundary line is given by the equation $ y = 2x - 1 $. This is determined by observing the slope and y-intercept of the dashed line on the graph.

Step 2: Determine the type of boundary line

The boundary line is dashed, indicating that the inequality does not include the boundary line itself. Therefore, the inequality will be either $ < $ or $ > $.

Step 3: Identify the shaded region

The shaded region is below the boundary line. This indicates that the inequality is $ y < 2x - 1 $.

Final Answer

The linear inequality that corresponds to the graph is $ y < 2x - 1 $.

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