What is the graph of the inequality in the coordinate plane? x ≥ 1 (1 point) Responses Image with alt text: A coordinate plane with a solid vertical boundary line through the point (1, 0) and shading to the right of the boundary line. Image with alt text: A coordinate plane with a solid vertical boundary line through the point (1, 0) and shading to the left of the boundary line. Image with alt text: A coordinate plane with a solid horizontal boundary line through the point (0, 1) and shading above the boundary line.
Image with alt text: A coordinate plane with a solid vertical boundary line through the point (1, 0) and shading to the right of the boundary line.
The correct answer is: "Image with alt text: A coordinate plane with a solid vertical boundary line through the point (1, 0) and shading to the right of the boundary line."
The correct answer is: Image with alt text: A coordinate plane with a solid vertical boundary line through the point (1, 0) and shading to the right of the boundary line.
To understand how to determine the graph of the inequality x ≥ 1, follow these steps:
Step 1: Start by drawing a coordinate plane with horizontal and vertical axes.
Step 2: Locate the point (1, 0) on the x-axis. This is where the vertical boundary line will pass through.
Step 3: Draw a solid vertical boundary line passing through the point (1, 0). This line represents the equation x = 1.
Step 4: Determine which side of the line to shade by considering the inequality symbol. In this case, the "≥" symbol means "greater than or equal to." Since x is greater than or equal to 1, we need to shade the area to the right of the boundary line.
Step 5: Shade the region to the right of the boundary line, indicating all the points that satisfy the inequality x ≥ 1.