How does a constraint,” A washing machine can hold up to 8 kilograms of cloths(X)” can be given?

Options

A. `X ge 8`
B. `X le 8`
C. `X != 8`
D. `X = 8`

Answer

To express the constraint that a washing machine can hold up to 8 kilograms of clothes (denoted as \( X \)), we can follow these steps:

### Step 1: Understand the Constraint
The statement "A washing machine can hold up to 8 kilograms of clothes" indicates that the maximum weight of clothes that can be placed in the washing machine is 8 kilograms. This means that any weight of clothes \( X \) must not exceed this limit.

### Step 2: Define the Variable
Let \( X \) represent the weight of the clothes in kilograms.

### Step 3: Formulate the Inequality
Since the washing machine can hold a maximum of 8 kilograms, we can express this constraint mathematically as:
\[ X \leq 8 \]
This inequality states that the weight of the clothes \( X \) can be any value that is less than or equal to 8 kilograms.

### Step 4: Interpret the Inequality
The inequality \( X \leq 8 \) means:
- \( X \) can be 0 kilograms (no clothes).
- \( X \) can be 1, 2, 3, 4, 5, 6, 7 kilograms (any weight up to 7 kilograms).
- \( X \) can also be exactly 8 kilograms (the maximum limit).

### Step 5: Conclusion
Thus, the constraint that a washing machine can hold up to 8 kilograms of clothes can be succinctly expressed as:
\[ X \leq 8 \]