https://file.aiquickdraw.com/mathbot/file/1726617804173amy3bfd5.jpg

The problem shown in the image is asking: "Which value of \( x \) makes the inequality true?" The inequality given is:

\[
15\% \cdot x < 5
\]

We need to solve for \( x \).

### Step-by-step solution:

1. First, express \( 15\% \) as a decimal. We know that:
   \[
   15\% = 0.15
   \]
   Therefore, the inequality becomes:
   \[
   0.15x < 5
   \]

2. To isolate \( x \), divide both sides of the inequality by \( 0.15 \):
   \[
   x < \frac{5}{0.15}
   \]

3. Calculate the division:
   \[
   x < \frac{5}{0.15} = 33.33
   \]

Thus, the solution is:

\[
x < 33.33
\]

From the multiple choices in your image, the best match should be based on the options provided (though they are slightly obscured). None of them seem to match exactly with \( 33.33 \), so perhaps further clarification is needed on the provided choices.

Would you like further details, or do you have any additional questions?

### 5 related questions:
1. How do you solve inequalities with percentages in general?
2. What happens if the inequality symbol changes direction (e.g., \( \geq \) or \( \leq \))?
3. How do you solve inequalities involving fractions or decimals?
4. Can you graph this inequality to better understand the solution set?
5. What are some real-life applications of solving inequalities?

**Tip:** When converting percentages into decimals, always divide by 100. For example, \( 15\% = \frac{15}{100} = 0.15 \).

Which value of x makes the inequality true? 15% * x < 5

This lesson explains how to solve the inequality 15% * x < 5 by converting percentages into decimals and solving for x. It covers core algebraic concepts and is suitable for Grades 6-8.

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