https://file.aiquickdraw.com/mathbot/file/17289179741368dgtd7mu.jpg

The question in the image reads: 

**"Himpunan penyelesaian dari pertidaksamaan 3 < 2x - 1 < 11 adalah...."**

This is a compound inequality that can be solved step by step.

We have:

\[
3 < 2x - 1 < 11
\]

### Step 1: Add 1 to all parts of the inequality.

\[
3 + 1 < 2x - 1 + 1 < 11 + 1
\]

\[
4 < 2x < 12
\]

### Step 2: Divide all parts by 2 to isolate \(x\).

\[
\frac{4}{2} < \frac{2x}{2} < \frac{12}{2}
\]

\[
2 < x < 6
\]

### Final Solution:
The solution set is \(2 < x < 6\). This means the values of \(x\) lie between 2 and 6 (not including 2 and 6).

Would you like any further details or clarification on this? 

Here are five questions related to this:

1. How do we graph this solution on a number line?
2. What happens if the inequality included equal signs (≤ or ≥)?
3. How do you solve compound inequalities with three parts?
4. Can you apply this method to inequalities involving negative coefficients?
5. How would the solution change if the inequality was reversed (e.g., \(2x - 1 > 3\))?

**Tip:** Always perform the same operation on all parts of a compound inequality to maintain the relationship between the terms.

Himpunan penyelesaian dari pertidaksamaan 3 < 2x - 1 < 11 adalah....

Learn how to solve the compound inequality 3 < 2x - 1 < 11 with step-by-step guidance. This solution involves basic algebraic operations and compound inequalities. Suitable for students in Grades 7-9.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation