Write the statements given below in symbols and list the elements.
(i) Integers lying between -15 and -8.
(ii) Integers greater than -5 and less than 1.
If A and B are the number of elements in the sets (i) and (ii), respectively, then find the value of |-(A-B)|.

Explanation

To solve the problem step by step, we will first express the statements in symbols, list the elements, and then calculate the required value.

### Step 1: Write the first statement in symbols and list the elements.
**Statement (i):** Integers lying between -15 and -8.

**Symbolic Representation:**
The set can be represented as:
\[ A = \{ x \in \mathbb{Z} \mid -15 < x < -8 \} \]

**Listing the Elements:**
The integers between -15 and -8 are:
\[ A = \{-14, -13, -12, -11, -10, -9\} \]

### Step 2: Write the second statement in symbols and list the elements.
**Statement (ii):** Integers greater than -5 and less than 1.

**Symbolic Representation:**
The set can be represented as:
\[ B = \{ x \in \mathbb{Z} \mid -5 < x < 1 \} \]

**Listing the Elements:**
The integers greater than -5 and less than 1 are:
\[ B = \{-4, -3, -2, -1, 0\} \]

### Step 3: Count the number of elements in each set.
**Count of Elements in Set A:**
\[ A = \{-14, -13, -12, -11, -10, -9\} \]
Number of elements, \( |A| = 6 \)

**Count of Elements in Set B:**
\[ B = \{-4, -3, -2, -1, 0\} \]
Number of elements, \( |B| = 5 \)

### Step 4: Calculate \( |-(A-B)| \).
**Finding \( A - B \):**
We need to calculate:
\[ A - B = |A| - |B| = 6 - 5 = 1 \]

**Finding the Absolute Value:**
Now we need to find:
\[ |-(A - B)| = |-1| = 1 \]

### Final Answer:
The value of \( |-(A - B)| \) is:
\[ \boxed{1} \]

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