Write the following intervals in set builder form
[23,5)

Answer

To convert the interval [23, 5) into set builder form, we will follow these steps:

### Step 1: Understand the Interval Notation
The interval [23, 5) means:
- 23 is included in the set (indicated by the square bracket).
- 5 is not included in the set (indicated by the round bracket).

### Step 2: Identify the Range of Values
We need to determine the values of x that fall within this interval. Since 23 is included and 5 is not, we will express this mathematically.

### Step 3: Write the Set Builder Notation
In set builder notation, we express the set as:
- Let A be the set of all x such that x is a real number.

### Step 4: Define the Conditions for x
From the interval:
- x must be greater than 5 (since 5 is not included).
- x must be less than or equal to 23 (since 23 is included).

### Step 5: Combine the Conditions
We can combine these conditions into one expression:
- A = { x ∈ ℝ | 5 < x ≤ 23 }

### Final Answer
Thus, the set builder form of the interval [23, 5) is:
A = { x ∈ ℝ | 5 < x ≤ 23 }

---