https://file.aiquickdraw.com/mathbot/file/1726560494444fj01nwjc.jpg

The inequality in the image is:

\[
\frac{49}{(1 - \sqrt{2x + 1})^2} < 2x + 9
\]

To solve this inequality, let's proceed step-by-step:

### Step 1: Isolate the square root term
We begin by simplifying the expression by multiplying both sides by \((1 - \sqrt{2x + 1})^2\), but we need

Find the value of x which satisfies the following inequality: \[ \frac{49}{(1 - \sqrt{2x + 1})^2} < 2x + 9 \]

This webpage provides a step-by-step solution to solve an inequality involving radical expressions: \( \frac{49}{(1 - \sqrt{2x + 1})^2} < 2x + 9 \). The problem touches upon key algebraic concepts such as inequalities and the manipulation of square roots, suitable for students in Grades 9-12.

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