Math Problem Statement
Graph the inequality. 2 x minus y less than or equals 8 Question content area bottom left Part 1 Use the graphing tool to graph the inequality.
Solution
Here is the graph of the inequality (or equivalently ):
- The solid blue line represents the boundary .
- The shaded region above the line (in light blue) represents all the points that satisfy the inequality .
Would you like more details on how the graph was created, or do you have any questions?
Here are 5 related questions to expand your understanding:
- How do you graph inequalities with or ?
- What does it mean when we shade a region on a graph?
- How do you identify which side of the boundary line to shade?
- Can an inequality have multiple boundary lines?
- How do we graph systems of inequalities?
Tip: Always remember to flip the inequality when multiplying or dividing by a negative number!
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Inequalities
Graphing Inequalities
Formulas
Standard form of a linear equation: Ax + By = C
Slope-intercept form: y = mx + b
Theorems
Linear inequality graphing rules
Boundary line theorem for inequalities
Suitable Grade Level
Grades 7-10