To solve the inequality \( 2 < -4 + x \), we need to isolate \( x \).

### Steps:

1. Add 4 to both sides to eliminate the \(-4\) on the right:
   \[
   2 + 4 < x
   \]

2. Simplify:
   \[
   6 < x
   \]
   or equivalently,
   \[
   x > 6
   \]

### Final answer:
The solution to the inequality is \( x > 6 \).

Would you like more details or have any questions?

Here are 5 related questions to explore further:
1. How do you solve inequalities involving multiplication or division?
2. What happens if the inequality sign is flipped?
3. Can you graph the solution \( x > 6 \) on a number line?
4. How do you solve compound inequalities?
5. What are the rules for solving inequalities with absolute values?

**Tip:** When multiplying or dividing both sides of an inequality by a negative number, remember to reverse the inequality sign!

Learn how to solve the linear inequality 2 < -4 + x with a detailed step-by-step solution. This problem introduces key algebraic concepts such as isolating variables in inequalities and using the addition property of inequality. 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