Math Problem Statement
Solve the inequality 5a + 9 ≤ 2a + 15.
Solution
The inequality given in the image is:
Steps to solve the inequality:
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Move the variable terms to one side: Subtract from both sides: Simplifying this gives:
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Move the constant term to the other side: Subtract 9 from both sides: Simplifying this gives:
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Solve for : Divide both sides by 3:
Final solution:
Let me know if you need further clarification or details!
Here are 5 related questions you might find useful:
- How would you solve the inequality if it involved a negative coefficient?
- What is the difference between solving an inequality and an equation?
- Can you describe how to graph the solution on a number line?
- How do the properties of inequalities change when multiplying or dividing by a negative number?
- Can you apply this method to solve ?
Tip: When solving inequalities, if you multiply or divide by a negative number, always remember to reverse the inequality sign!
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Math Problem Analysis
Mathematical Concepts
Algebra
Inequalities
Formulas
Linear Inequality: ax + b ≤ cx + d
Theorems
Properties of Inequalities
Suitable Grade Level
Grades 8-10