Math Problem Statement
Solve the following inequality for m. Write your answer in simplest form: 7m - 8 ≥ 8m - 1
Solution
Let's solve the given inequality:
Step 1: Simplify both sides.
Start by subtracting from both sides to move the terms with to one side:
This simplifies to:
Step 2: Solve for .
Now, add 1 to both sides to isolate :
Simplifying:
This is the same as:
Final Answer:
The solution to the inequality is:
Would you like any more details on these steps, or do you have further questions? Here are some related questions to explore:
- What happens if you multiply or divide both sides of an inequality by a negative number?
- How do you represent the solution on a number line?
- Can you explain the difference between and in inequalities?
- What are the key steps in solving inequalities involving variables on both sides?
- How can you check your solution to an inequality?
Tip: When solving inequalities, always remember that reversing the inequality sign is necessary when multiplying or dividing by a negative number.
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Math Problem Analysis
Mathematical Concepts
Algebra
Inequalities
Solving Linear Equations
Formulas
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Theorems
Properties of inequalities
Addition and subtraction of terms
Suitable Grade Level
Grades 7-9