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

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? $y \leq 2 x-1$ $y>2 x-1$ $y<2 x-1$ $y \geq 2 x-1$
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Solution

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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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