Math Problem Statement
3x-8>4
Solution
To solve the inequality , follow these steps:
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Add 8 to both sides to isolate the term with on the left side:
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Divide both sides by 3 to solve for :
So, the solution is .
Would you like more details or have any questions?
Here are 5 related questions to expand your understanding:
- What is the solution set of the inequality ?
- How would you graph the solution on a number line?
- What happens if you multiply or divide an inequality by a negative number?
- Can you solve ?
- How would you check if a value satisfies an inequality?
Tip: Always 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 manipulation
Theorems
Properties of inequalities (addition, division, multiplication)
Suitable Grade Level
Grades 7-9