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What is the interior of the curve togeth...

What is the interior of the curve together with its boundary called ?

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To solve the question "What is the interior of the curve together with its boundary called?", we can follow these steps: ### Step-by-Step Solution: 1. **Understanding the Curve and Boundary**: - First, we need to visualize what is meant by a curve and its boundary. A curve can be any shape, such as a circle, a line, or a more complex shape like a parabola. - The boundary is the line or lines that define the outer limits of the area we are interested in. 2. **Drawing the Curve**: - Let's draw a simple curve, for example, a U-shaped curve. This could represent a parabola opening upwards. - Next, we can draw a horizontal line that intersects the curve at two points, which we can label as points M and N. 3. **Identifying the Interior**: - The interior of the curve is the space that lies inside the curve itself. This includes all the points that are enclosed by the curve and the boundary line. 4. **Naming the Region**: - The area that is enclosed by the curve and its boundary is commonly referred to as a "region." - Therefore, the interior of the curve together with its boundary is called a "region." 5. **Final Answer**: - The interior of the curve together with its boundary is called a "region."
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