Math Problem Statement
Solve the inequality: 4c < 14 - 3c.
Solution
Let's solve the inequality:
Given:
Step 1: Add to both sides to eliminate on the right-hand side:
Step 2: Divide both sides by to isolate :
Final Answer:
The solution to the inequality is:
Let me know if you'd like further details or have any questions!
Follow-up Questions:
- What are the key differences between solving equations and inequalities?
- How would the solution change if the inequality symbol were instead of ?
- What happens when you multiply or divide by a negative number in inequalities?
- Can you graph this solution on a number line? How would it look?
- How do you check whether a value satisfies an inequality?
Tip:
When solving inequalities, remember to reverse the inequality sign if you multiply or divide by a negative number!
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Math Problem Analysis
Mathematical Concepts
Algebra
Inequalities
Linear Equations
Formulas
Basic inequality manipulation
Theorems
Properties of inequalities (e.g., adding, subtracting, dividing both sides)
Suitable Grade Level
Grades 7-9