Math Problem Statement
1≥x/3
Solution
The inequality can be solved by isolating . Here's how:
Step-by-Step Solution:
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Start with the given inequality:
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Multiply both sides by 3 to eliminate the denominator. Since 3 is positive, the inequality direction remains the same:
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Rewrite this inequality for clarity:
Final Answer:
This means that can take any value less than or equal to 3.
Would you like more details or have any questions?
Related Questions:
- How would the solution change if the inequality was ?
- Can you explain how the solution changes if the denominator is negative?
- What is the graphical representation of ?
- How can you test a value to see if it satisfies ?
- How does multiplying or dividing by a variable affect inequality solutions?
Tip: Always check the direction of the inequality when multiplying or dividing by negative numbers!
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Math Problem Analysis
Mathematical Concepts
Inequalities
Algebra
Formulas
Inequality solving: Multiply both sides by a constant
Theorems
Properties of inequalities (multiplying/dividing by positive numbers)
Suitable Grade Level
Grades 7-9