Let's simplify the expression step by step.
Starting with the expression provided:
\(-6 + 3 \times 5 ___ \sqrt{16} + \frac{32}{8}\)
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Calculate \(3 \times 5\): \[ 3 \times 5 = 15 \]
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Calculate \(\sqrt{16}\): \[ \sqrt{16} = 4 \]
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Calculate \(\frac{32}{8}\): \[ \frac{32}{8} = 4 \]
Now, substitute these values back into the expression:
\(-6 + 15 ___ 4 + 4\)
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Combine \(-6\) and \(15\): \[ -6 + 15 = 9 \]
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Now the expression is: \[ 9 ___ 4 + 4 \]
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Combine \(4 + 4\): \[ 4 + 4 = 8 \]
Now we have:
\[ 9 ___ 8 \]
We can analyze the options:
- A: >
- B: <
- C: =
- D: \(\ge \)
Since \(9\) is greater than \(8\):
\[ 9 > 8 \]
The correct answer is:
A: >