Math Problem Statement
12y ≤ 0.10x
Solution
The inequality provided in the image is:
Steps to Analyze or Solve
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Rearranging the inequality: To understand its behavior better, you can express in terms of by dividing through by 12:
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Simplify the fraction:
This is the simplified version of the inequality.
Graphical Representation
This inequality represents a region in the coordinate plane:
- The boundary line is .
- The solution region includes all points where is less than or equal to .
Would you like further explanation, or should we explore this inequality graphically or through examples?
Related Questions
- What does the slope indicate in the inequality ?
- How can we test whether a specific point, like (12, 1), satisfies the inequality?
- What is the significance of dividing both sides of an inequality in terms of scaling the boundary?
- How would this inequality change if the sign were reversed to ?
- How do we interpret such inequalities in practical scenarios?
Tip:
When graphing inequalities, always remember to shade the correct side of the boundary line, depending on whether it's or .
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Math Problem Analysis
Mathematical Concepts
Inequalities
Linear Equations
Formulas
y ≤ (0.10/12)x
y ≤ x/120
Theorems
Linear inequality properties
Suitable Grade Level
Grades 7-9