Math Problem Statement
3x-8>4
Solution
To solve the inequality , follow these steps:
-
Add 8 to both sides to move the constant term:
-
Divide both sides by 3 to isolate :
Solution:
Would you like more details on solving inequalities or any other questions?
Here are five related questions to explore:
- What is the solution set of ?
- How do you solve the inequality ?
- How does solving inequalities differ from solving equalities?
- What happens when you multiply or divide by a negative number in an inequality?
- Can you graph the solution to on a number line?
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
Formulas
Basic linear inequality manipulation: Add or subtract terms and divide or multiply to isolate the variable
Theorems
Properties of inequalities, including flipping the inequality sign when multiplying or dividing by a negative number
Suitable Grade Level
Grades 6-8