Let's solve the inequality:

\[ 38 > 2(x + 8) \]

### Step 1: Distribute the 2 on the right-hand side.
\[ 38 > 2x + 16 \]

### Step 2: Subtract 16 from both sides to isolate the term with \( x \).
\[ 38 - 16 > 2x \]
\[ 22 > 2x \]

### Step 3: Divide both sides by 2 to solve for \( x \).
\[ \frac{22}{2} > x \]
\[ 11 > x \]

This means \( x < 11 \).

### Final Answer:
The solution is \( x < 11 \).

Would you like further details or clarifications?

Here are some related questions you might find useful:
1. How do you solve inequalities with negative numbers?
2. What is the difference between solving equations and inequalities?
3. How can you graph \( x < 11 \) on a number line?
4. How would the solution change if the inequality were \( \geq \) instead of \( > \)?
5. What happens if you divide both sides of an inequality by a negative number?

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

Learn how to solve the inequality 38 > 2(x + 8) with a step-by-step solution. This problem involves key algebraic concepts such as the distributive property and methods for solving inequalities. Suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation