Graph the solution of the inequality –3(x + 1) ≤ 6 on the number line. 

The graph shows the solution to the inequality \(x \geq -3\), with a solid circle at \(-3\) and shading to the right to indicate all numbers greater than or equal to \(-3\).

Would you like more details or have any questions?

Here are five related questions to explore further:
1. How would the graph change if the inequality was \(x > -3\)?
2. What happens if we divide both sides by a negative number in an inequality?
3. How do we graph compound inequalities like \(-5 \leq x < 2\)?
4. What is the difference between strict inequalities (\(<\) or \(>\)) and non-strict inequalities (\(\leq\) or \(\geq\)) on a number line?
5. Can an inequality have no solution? What does that look like?

**Tip:** When solving inequalities, always remember to reverse the inequality sign when multiplying or dividing by a negative number!

Graph the solution of the inequality –3(x + 1) ≤ 6 on the number line.

Learn how to solve and graph the inequality –3(x + 1) ≤ 6. This step-by-step guide walks through solving linear inequalities, graphing solutions on a number line, and understanding inequality properties. Suitable for Grades 6-8 students.

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