Final answer:
Option B (3 + 4x²(1 + 2x)) does not represent inequality and therefore cannot yield a solution in the context of solving inequalities. It is simply an expression and does not include any inequality symbols to compare two values.
Step-by-step explanation:
To identify the inequality that doesn't yield a solution, we need to look at each option given and check its validity. The student's question seems to include both inequalities and an expression that is not an inequality, so we need to clarify this first.
Reviewing the Options
Option A: 6(x + 2) > x - 3. This is a valid inequality and could have solutions depending on the value of x.
Option B: 3 + 4x²(1 + 2x). This is not an inequality but rather an expression that could be part of an inequality.
Option C: -2(x + 6) < x - 20. This is also a valid inequality which can have solutions depending on the value of x.
Option D: x - 9 < 3(x - 3). As with A and C, this is a valid inequality with possible solutions.
From the options given, Option B is the only one that does not present an inequality; therefore, it cannot yield solutions as an inequality because it doesn't establish a relationship between two expressions.