Which sign will come in the box to make the expression true?
`(-6) + (-5) - 2 square (-6) + (-5 - 2)`

Options

A. `lt`
B. `gt`
C. `=`
D. None of these

Answer

To solve the expression and determine which sign will come in the box to make the expression true, we need to evaluate both sides of the expression separately.

### Step 1: Identify the expression
The expression given is:
\[ (-6) + (-5) - 2 \quad \text{and} \quad (-6) + (-5 - 2) \]

### Step 2: Calculate the left-hand side
Let's calculate the left-hand side:
\[ (-6) + (-5) - 2 \]
First, we combine the first two numbers:
\[ -6 + (-5) = -6 - 5 = -11 \]
Now, we subtract 2:
\[ -11 - 2 = -13 \]
So, the left-hand side equals:
\[ \text{LHS} = -13 \]

### Step 3: Calculate the right-hand side
Now, let's calculate the right-hand side:
\[ (-6) + (-5 - 2) \]
First, simplify the expression in the parentheses:
\[ -5 - 2 = -7 \]
Now, we substitute this back into the expression:
\[ -6 + (-7) = -6 - 7 = -13 \]
So, the right-hand side equals:
\[ \text{RHS} = -13 \]

### Step 4: Compare both sides
Now we have:
\[ \text{LHS} = -13 \quad \text{and} \quad \text{RHS} = -13 \]
Since both sides are equal, we can conclude that:
\[ \text{LHS} = \text{RHS} \]

### Step 5: Determine the sign for the box
Since the left-hand side is equal to the right-hand side, we can fill in the box with the sign:
\[ \text{Answer: } \text{Equal to ( = )} \]