Illustrate on a number line all of the integers Greater than -3 but smaller than 5 . Smaller than 1 but greater then -7 .

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UpStudy AI · Accepted Answer

Sure! Let's illustrate the specified integers on number lines and list them for clarity.

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### 1. Integers Greater Than -3 but Smaller Than 5

**Condition:** $$-3 < x < 5$$

**Integers in this range:** $$-2, -1, 0, 1, 2, 3, 4$$

**Number Line Illustration:**

```
 -5  -4  -3  -2  -1   0   1   2   3   4   5   6
                |    |    |    |    |    |
                •    •    •    •    •    •    •
```

- **Explanation:**
  - The dots (•) represent the integers that are **greater than -3** and **smaller than 5**.
  - Numbers to the left of -3 and to the right of 5 are not included.

---

### 2. Integers Smaller Than 1 but Greater Than -7

**Condition:** $$-7 < x < 1$$

**Integers in this range:** $$-6, -5, -4, -3, -2, -1, 0$$

**Number Line Illustration:**

```
-9  -8  -7  -6  -5  -4  -3  -2  -1   0   1   2
                |    |    |    |    |    |    |
                •    •    •    •    •    •    •
```

- **Explanation:**
  - The dots (•) represent the integers that are **smaller than 1** and **greater than -7**.
  - Numbers to the left of -7 and to the right of 1 are not included.

---

### Summary

- **First Range ($$-3 < x < 5$$):**
  - Integers: $$-2, -1, 0, 1, 2, 3, 4$$
  
- **Second Range ($$-7 < x < 1$$):**
  - Integers: $$-6, -5, -4, -3, -2, -1, 0$$

These illustrations help visualize where the integers lie on the number line based on the given conditions.
Integers greater than -3 and less than 5: -2, -1, 0, 1, 2, 3, 4. Integers greater than -7 and less than 1: -6, -5, -4, -3, -2, -1, 0.

Illustrate on a number line all of the integers Greater than -3 but smaller than 5 . Smaller than 1 but greater then -7 .

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