https://file.aiquickdraw.com/mathbot/file/1727790238264l5ddxz1q.jpg

The question in the image asks to solve the inequality:

\[
\frac{x}{5} \leq 4
\]

First, we will solve the inequality for \( x \).

### Step 1: Eliminate the denominator
To eliminate the denominator of 5, multiply both sides of the inequality by 5:

\[
x \leq 4 \times 5
\]

\[
x \leq 20
\]

### Step 2: Verify the solution
The inequality \( x \leq 20 \) means that any value of \( x \) less than or equal to 20 will satisfy the inequality.

### Step 3: Choose the correct values from the given options
Now, let's check the given values and select those that satisfy \( x \leq 20 \). The numbers listed are:

- 10
- 19
- 23
- 25
- 15
- 20
- 17
- 21
- 30

From these, the values that satisfy \( x \leq 20 \) are:

\[
10, 15, 17, 19, 20
\]

### Step 4: Equivalent inequality
The equivalent inequality is:

\[
x \leq 20
\]

Would you like further details on the steps involved or have any additional questions?

Here are 5 related questions for practice:
1. Solve \( \frac{x}{4} \leq 3 \) and find the equivalent inequality.
2. Solve the inequality \( \frac{2x}{7} \leq 5 \) for \( x \).
3. Determine the values that satisfy \( \frac{x}{6} \geq 3 \).
4. If \( \frac{x}{2} + 1 \leq 5 \), solve for \( x \).
5. Solve the compound inequality \( \frac{x}{5} \leq 4 \text{ and } x > 10 \).

**Tip:** When solving inequalities, always remember to flip the inequality sign if multiplying or dividing by a negative number.

Select the values that make the inequality x/5 ≤ 4 true. Then write an equivalent inequality, in terms of x.

Learn how to solve the inequality x/5 ≤ 4 and determine the values that satisfy the inequality. This problem explores key concepts in basic algebra and inequalities, ideal for students in Grades 6-8.

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