Solve the inequality and graph the solution.

3

≥

3

h

–

3

We are given the inequality:

\[
3 \geq 3h - 3
\]

### Step-by-step solution:

1. **Add 3 to both sides** to eliminate the constant on the right-hand side:
   \[
   3 + 3 \geq 3h
   \]
   \[
   6 \geq 3h
   \]

2. **Divide both sides by 3** to isolate \( h \):
   \[
   \frac{6}{3} \geq h
   \]
   \[
   2 \geq h
   \]
   or equivalently,
   \[
   h \leq 2
   \]

### Final solution:
The solution to the inequality is \( h \leq 2 \).

### Graph of the solution:
On a number line, the graph of \( h \leq 2 \) includes all numbers less than or equal to 2. We represent this as a shaded line to the left of 2, with a closed circle at 2 to indicate that 2 is included in the solution set.

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Would you like me to graph this inequality for you? Let me know if you need further details!

Here are 5 related questions you might find useful:
1. How do you solve an inequality involving fractions?
2. What is the difference between strict and non-strict inequalities?
3. How would the graph change if the inequality were \( h < 2 \)?
4. Can you explain how to solve compound inequalities?
5. How do inequalities relate to linear equations in graphing?

**Tip**: Always reverse the inequality sign when multiplying or dividing both sides by a negative number.

Solve the inequality and graph the solution.

3 ≥ 3h - 3

Discover how to solve the linear inequality 3 ≥ 3h - 3 with a clear, step-by-step breakdown. Learn to manipulate inequalities and graph the solution on a number line. This problem is ideal for students in Grades 6-8.

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