This Algebra 1 worksheet helps students practice converting between set builder notation, interval notation, and visual line graphs.

Let's solve the problem step by step. The task is to fill in the missing parts of a table that includes:

1. Set Builder Notation
2. Interval Notation
3. Line Graph

We are given some examples and need to complete the rest based on the provided information.

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Let's go through each row:

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#### 1.)
- Set Builder Notation: $\{x \mid x > 3\}$
- Interval Notation: $(3, \infty)$
- Line Graph: A number line with an open circle at 3 and an arrow going to the right.

✔ This is already correct.

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#### 2.)
- Set Builder Notation: $\{x \mid -2 < x < 4\}$
- Interval Notation: $(-2, 4)$
- Line Graph: Open circles at -2 and 4, shaded between them.

✔ Correct.

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#### 3.)
- Set Builder Notation: $\{x \mid x \leq -1\}$
- Interval Notation: $(-\infty, -1]$
- Line Graph: Closed circle at -1, arrow going left.

✔ Correct.

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#### 4.)
- Set Builder Notation: $\{x \mid x \geq 5\}$
- Interval Notation: $[5, \infty)$
- Line Graph: Closed circle at 5, arrow going right.

✔ Correct.

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#### 5.)
- Set Builder Notation: $\{x \mid x < -3\}$
- Interval Notation: $(-\infty, -3)$
- Line Graph: Open circle at -3, arrow going left.

✔ Correct.

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#### 6.)
- Set Builder Notation: $\{x \mid x \geq -1\}$
- Interval Notation: $[-1, \infty)$
- Line Graph: Closed circle at -1, arrow going right.

✔ Correct.

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#### 7.)
- Set Builder Notation: $\{x \mid x \leq 9\}$
- Interval Notation: $(-\infty, 9]$
- Line Graph: Closed circle at 9, arrow going left.

✔ Correct.

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#### 8.)
- Set Builder Notation: $\{x \mid x > 0\}$
- Interval Notation: $(0, \infty)$
- Line Graph: Open circle at 0, arrow going right.

✔ Correct.

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#### 9.)
- Set Builder Notation: $\{x \mid x \geq 3\}$
- Interval Notation: $[3, \infty)$
- Line Graph: Closed circle at 3, arrow going right.

✔ Correct.

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#### 10.)
- Set Builder Notation: $\{x \mid x \geq -2\}$
- Interval Notation: $[-2, \infty)$
- Line Graph: Closed circle at -2, arrow going right.

✔ Correct.

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#### 11.)
- Set Builder Notation: $\{x \mid x < 2\}$
- Interval Notation: $(-\infty, 2)$
- Line Graph: Open circle at 2, arrow going left.

✔ Correct.

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#### 12.)
- Set Builder Notation: $\{x \mid x \leq -4\}$
- Interval Notation: $(-\infty, -4]$
- Line Graph: Closed circle at -4, arrow going left.

✔ Correct.

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Final Answer Summary (Completed Table):

| Set Builder Notation | Interval Notation | Line Graph |
|----------------------|-------------------|------------|
| $\{x \mid x > 3\}$ | $(3, \infty)$ | → open at 3, right arrow |
| $\{x \mid -2 < x < 4\}$ | $(-2, 4)$ | → open at -2 and 4, shaded between |
| $\{x \mid x \leq -1\}$ | $(-\infty, -1]$ | → closed at -1, left arrow |
| $\{x \mid x \geq 5\}$ | $[5, \infty)$ | → closed at 5, right arrow |
| $\{x \mid x < -3\}$ | $(-\infty, -3)$ | → open at -3, left arrow |
| $\{x \mid x \geq -1\}$ | $[-1, \infty)$ | → closed at -1, right arrow |
| $\{x \mid x \leq 9\}$ | $(-\infty, 9]$ | → closed at 9, left arrow |
| $\{x \mid x > 0\}$ | $(0, \infty)$ | → open at 0, right arrow |
| $\{x \mid x \geq 3\}$ | $[3, \infty)$ | → closed at 3, right arrow |
| $\{x \mid x \geq -2\}$ | $[-2, \infty)$ | → closed at -2, right arrow |
| $\{x \mid x < 2\}$ | $(-\infty, 2)$ | → open at 2, left arrow |
| $\{x \mid x \leq -4\}$ | $(-\infty, -4]$ | → closed at -4, left arrow |

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Key Rules:

- Open circle: $<$ or $>$ → parentheses `(` or `)`
- Closed circle: $\leq$ or $\geq$ → brackets `[` or `]`
- Infinity: always uses parentheses
- Direction: depends on inequality

All entries are consistent with these rules.

✔ The worksheet is correctly filled out as shown above.