State whether true or false.
`-11+15=-4`

Answer

To determine whether the statement \(-11 + 15 = -4\) is true or false, we will perform the calculation step by step.

### Step 1: Identify the expression
We start with the expression on the left-hand side (LHS):
\[ -11 + 15 \]

### Step 2: Determine the larger number
In this expression, we have two numbers: \(-11\) (negative) and \(15\) (positive). The larger number is \(15\).

### Step 3: Subtract the smaller number from the larger number
Since \(15\) is larger than \(-11\), we will subtract \(11\) from \(15\):
\[ 15 - 11 = 4 \]

### Step 4: Determine the sign of the result
Since \(15\) is positive and larger than \(-11\), the result will be positive:
\[ -11 + 15 = 4 \]

### Step 5: Compare with the right-hand side (RHS)
Now, we compare the result we obtained with the right-hand side (RHS) of the original statement:
\[ LHS = 4 \quad \text{and} \quad RHS = -4 \]

### Step 6: Conclusion
Since \(4\) is not equal to \(-4\), we conclude that the statement is false:
\[ -11 + 15 \neq -4 \]

Thus, the answer is **False**.

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