This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

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Answer
x < 11 or x \ge 19
Hey Lvdy, good to see you again.
Here are the inequalities represented by the diagrams:
A) Step 1: Identify the two separate intervals. The first interval has an open circle at and an arrow pointing left, meaning . The second interval has a closed circle at and an arrow pointing right, meaning . Step 2: Combine the intervals with "or" since they are separate.
B) Step 1: Identify the endpoints and their types. There is a closed circle at and an open circle at . The line segment connects these two points. Step 2: Write the inequality for being between these two points, including and excluding .
C) Step 1: Identify the endpoints and their types. There is an open circle at and a closed circle at . The line segment connects these two points. Step 2: Write the inequality for being between these two points, excluding and including .
D) Step 1: Identify the two separate intervals. The first interval has an open circle at and an arrow pointing left, meaning . The second interval has an open circle at and an arrow pointing right, meaning . Step 2: Combine the intervals with "or" since they are separate.
E) Step 1: Identify the endpoints and their types. There is a closed circle at and a closed circle at . The line segment connects these two points. Step 2: Write the inequality for being between these two points, including both and .
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Hey Lvdy, good to see you again. Here are the inequalities represented by the diagrams: A) Step 1: Identify the two separate intervals.
This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.