https://file.aiquickdraw.com/mathbot/file/17270356705790qvuzjij.jpg

The inequality provided is:

\[
3x - 4 < 6x - 1
\]

### Step-by-step solution:

1. **Subtract \( 3x \) from both sides**:
   \[
   -4 < 3x - 1
   \]

2. **Add 1 to both sides**:
   \[
   -4 + 1 < 3x
   \]
   Simplifying this gives:
   \[
   -3 < 3x
   \]

3. **Divide by 3**:
   \[
   -\frac{3}{3} < x
   \]
   Simplifying:
   \[
   -1 < x
   \]

### Final Answer:
\[
x > -1
\]

This inequality represents the solution.

Let me know if you would like more details or have any questions! Here are some related questions:

1. How do you graph the solution \(x > -1\) on a number line?
2. How would the solution change if the inequality was \(3x - 4 \leq 6x - 1\)?
3. What happens if we multiply or divide an inequality by a negative number?
4. Can we solve this inequality using a different method, like interval notation?
5. How would this inequality look with different coefficients for \(x\)?

**Tip:** Always remember, when dividing or multiplying by a negative number in inequalities, reverse the inequality symbol!

Solve: 3x - 4 < 6x - 1, giving your answer as an inequality.

Learn how to solve the linear inequality 3x - 4 < 6x - 1 step-by-step. This algebraic problem focuses on applying inequality rules and solving for x. 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