To solve the inequality \( x7 \leq -17 \), we need to isolate \( x \).

1. Divide both sides of the inequality by 7:
   \[
   x \leq \frac{-17}{7}
   \]

2. Simplify the fraction:
   \[
   x \leq -\frac{17}{7}
   \]

So, the solution to the inequality is:
\[ x \leq -\frac{17}{7} \]

Would you like more details or have any questions?

Here are five related questions that expand on this topic:

1. How would you solve the inequality \( 3x + 5 \leq 14 \)?
2. What is the solution to \( -2x \geq 8 \)?
3. How can you graph the solution to \( x \leq -\frac{17}{7} \) on a number line?
4. How would the solution change if the inequality was \( x7 < -17 \) instead?
5. What are the steps to solve compound inequalities such as \( -3 \leq 2x - 1 \leq 5 \)?

**Tip:** When solving inequalities, remember that dividing or multiplying both sides by a negative number reverses the inequality sign.

Learn how to solve the inequality x7 ≤ -17 by isolating x. This step-by-step solution explains dividing inequalities and simplifying fractions. Suitable for Grades 6-8 students working on basic algebra and inequalities.

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