Consider the following expressions:

To determine which operator can be inserted to make the expression true, we need to evaluate both sides of the inequality:

The expression can be simplified as follows:

Numerator Calculation:

1. Calculate \(14 \cdot 28\): \[ 14 \cdot 28 = 392 \]
2. Therefore, the numerator becomes: \[ 6 - 392 - 214 = 6 - 392 - 214 = 6 - 606 = -600 \]

Denominator Calculation:

1. Calculate \(4 \cdot 2\): \[ 4 \cdot 2 = 8 \]
2. Therefore, the denominator becomes: \[ 34 + 8 - 11 = 34 + 8 - 11 = 31 \]

Now we need to compare the two values:

• Numerator: \(-600\)
• Denominator: \(31\)

Now we need to place an operator between -600 and 31:

• \(-600 \geq 31\) (false)
• \(-600 > 31\) (false)
• \(-600 < 31\) (true)

Thus, the operator that can be used to make the statement true is <.