Math Problem Statement
1/2x-3>2
Solution
Let's solve the inequality step by step:
Given inequality:
Step 1: Add 3 to both sides to isolate the term with :
Step 2: Multiply both sides by 2 to get rid of the fraction:
Final Answer:
So, the solution is .
Would you like a detailed explanation or have any further questions on this?
Here are 5 related questions you could explore:
- How do I solve inequalities involving fractions or decimals?
- What happens if the inequality has a negative number instead of a positive one?
- How do I graph the solution of an inequality on a number line?
- How would I solve a compound inequality like and ?
- What is the difference between solving an inequality and solving an equation?
Tip: Always remember to reverse the inequality sign when multiplying or dividing by a negative number.
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Math Problem Analysis
Mathematical Concepts
Algebra
Inequalities
Formulas
Inequality solving (addition, multiplication)
Theorems
Basic rules for solving inequalities
Suitable Grade Level
Grades 7-9