In each given pair of integers, find which of the two integers is to the left of the other integer on a number line :
a. -4, -14
b. -2, 2
c. 0, -6
d. -1, 8

Answer

To determine which integer is to the left of the other on a number line for each given pair, we can follow these steps:

### Step 1: Understand the Number Line
A number line is a straight line where numbers are placed in order. Negative numbers are to the left of zero, and positive numbers are to the right. The further left a number is, the smaller its value.

### Step 2: Analyze Each Pair
We will analyze each pair of integers one by one.

#### a. -4 and -14
1. **Identify the numbers**: -4 and -14.
2. **Determine their positions**: On the number line, -14 is to the left of -4 because -14 is smaller than -4.
3. **Conclusion**: -14 is to the left of -4.

#### b. -2 and 2
1. **Identify the numbers**: -2 and 2.
2. **Determine their positions**: On the number line, -2 is to the left of 2 because -2 is smaller than 2.
3. **Conclusion**: -2 is to the left of 2.

#### c. 0 and -6
1. **Identify the numbers**: 0 and -6.
2. **Determine their positions**: On the number line, -6 is to the left of 0 because -6 is smaller than 0.
3. **Conclusion**: -6 is to the left of 0.

#### d. -1 and 8
1. **Identify the numbers**: -1 and 8.
2. **Determine their positions**: On the number line, -1 is to the left of 8 because -1 is smaller than 8.
3. **Conclusion**: -1 is to the left of 8.

### Summary of Results
- For pair a: -14 is to the left of -4.
- For pair b: -2 is to the left of 2.
- For pair c: -6 is to the left of 0.
- For pair d: -1 is to the left of 8.

### Final Answers
a. -14 is to the left of -4.
b. -2 is to the left of 2.
c. -6 is to the left of 0.
d. -1 is to the left of 8.

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