Consider the following expressions: −6+3⋅5 ______ 16−−√+32÷8 . Which operator can be inserted to make the statement true? (1 point) Responses < less than ≤ less-than-or-equal-to = equals >

To determine which operator can be inserted to make the statement true, we need to evaluate both sides of the expression and see how they compare.

First, we calculate the left side:

\(-6 + 3 \cdot 5\)

Following the order of operations (multiplication before addition):

1. Calculate \(3 \cdot 5 = 15\)
2. Now add: \(-6 + 15 = 9\)

So the left side evaluates to 9.

Next, we calculate the right side:

\(16 - \sqrt{16} + 32 \div 8\)

First, evaluate \(\sqrt{16}\) and \(32 \div 8\):

1. \(\sqrt{16} = 4\)
2. \(32 \div 8 = 4\)

Now substitute these values into the expression:

\(16 - 4 + 4\)

Now evaluate it step-by-step:

1. \(16 - 4 = 12\)
2. \(12 + 4 = 16\)

So the right side evaluates to 16.

Now we have:
- Left side: 9
- Right side: 16

We can now compare the two sides:

9 ______ 16

The correct operator to insert here to make the statement true is:
< (less than)

Thus, the complete statement is:
-6 + 3 ⋅ 5 < 16 − √16 + 32 ÷ 8

So the answer is: **< (less than)**.