Let's evaluate the expressions on both sides of the inequality.
For the left side:
\[ -6 + 3 \cdot 5 \] First, we perform the multiplication: \[ 3 \cdot 5 = 15 \] Now we can add: \[ -6 + 15 = 9 \]
Now for the right side:
\[ 16 - \sqrt{16} + 32 \div 8 \] First, we calculate \(\sqrt{16}\): \[ \sqrt{16} = 4 \] Next, we do the division: \[ 32 \div 8 = 4 \] Now we can substitute these results back: \[ 16 - 4 + 4 \] Now we perform the subtraction and addition: \[ 16 - 4 = 12 \] \[ 12 + 4 = 16 \]
Now we have the simplified expressions: Left side: \(9\) Right side: \(16\)
We need to compare \(9\) and \(16\). Since \(9 < 16\), we can use the less-than operator.
Thus, the correct operator to insert is:
< (less-than)
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