Math Problem Statement

Consider the inequality 2<-4+x

Solution

To solve the inequality 2<4+x2 < -4 + x, we need to isolate xx.

Steps:

  1. Add 4 to both sides to eliminate the 4-4 on the right: 2+4<x2 + 4 < x

  2. Simplify: 6<x6 < x or equivalently, x>6x > 6

Final answer:

The solution to the inequality is x>6x > 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>6x > 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!

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Math Problem Analysis

Mathematical Concepts

Algebra
Inequalities
Linear Equations

Formulas

-

Theorems

Addition property of inequality
Transitive property of inequality

Suitable Grade Level

Grades 6-8