Solve the following expression.
`5.6 - { 2 + 0.6" of " (2.1 - 2.6 xx 1.12) }`

Options

A. a) 4.0872
B. b) 4.0871
C. c) 7.7113
D. d) 7.7112

Answer

To solve the expression \( 5.6 - \{ 2 + 0.6 \text{ of } (2.1 - 2.6 \times 1.12) \} \), we will follow these steps:

### Step 1: Solve the innermost expression
First, we need to calculate \( 2.1 - 2.6 \times 1.12 \).

1. Calculate \( 2.6 \times 1.12 \):
\[ 2.6 \times 1.12 = 2.912 \]

2. Now substitute this value back into the expression:
\[ 2.1 - 2.912 \]

3. Calculate \( 2.1 - 2.912 \):
\[ 2.1 - 2.912 = -0.812 \]

### Step 2: Substitute back into the expression
Now, substitute \(-0.812\) into the expression:
\[ 5.6 - \{ 2 + 0.6 \text{ of } (-0.812) \} \]

### Step 3: Calculate \( 0.6 \text{ of } (-0.812) \)
To find \( 0.6 \text{ of } (-0.812) \):
\[ 0.6 \times (-0.812) = -0.4872 \]

### Step 4: Substitute back into the expression
Now, substitute \(-0.4872\) into the expression:
\[ 5.6 - \{ 2 - 0.4872 \} \]

### Step 5: Calculate \( 2 - 0.4872 \)
Now calculate:
\[ 2 - 0.4872 = 1.5128 \]

### Step 6: Final calculation
Now substitute back into the expression:
\[ 5.6 - 1.5128 \]

Calculate:
\[ 5.6 - 1.5128 = 4.0872 \]

### Final Answer
The final result is:
\[ \boxed{4.0872} \]

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