Math Problem Statement
Solve the inequality (2x + 1) / 3 ≥ 5.
Solution
The inequality provided is:
To solve this inequality, follow these steps:
-
Multiply both sides by 3 (to eliminate the fraction):
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Subtract 1 from both sides:
-
Divide both sides by 2:
The solution to the inequality is .
Would you like more details or have any questions?
Related Questions:
- How would the solution change if the inequality were ?
- What are some different methods to solve inequalities?
- How does multiplying or dividing by a negative number affect an inequality?
- Can inequalities be solved graphically? If so, how?
- How would you solve a compound inequality, such as ?
Tip:
Always remember to reverse the inequality sign when multiplying or dividing both sides by a negative number.
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Inequalities
Formulas
Linear inequality formula: ax + b ≥ c
Theorems
Properties of inequalities
Suitable Grade Level
Grades 8-10