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Magazine Problem 87
What is a linear inequality in two variables? Provide an example with your description.
Problem 88
How do you determine if an ordered pair is a solution of an inequality in two variables, \(x\) and \(y ?\)
Problem 90
What does a solid line mean in the graph of an inequality?
Problem 91
What does a dashed line mean in the graph of an inequality?
Problem 94
What is a solution of a system of linear inequalities?
Problem 95
Explain how to graph the solution set of a system of inequalities.
Problem 96
What does it mean if a system of linear inequalities has no solution?
Problem 99
When using the addition or substitution method, how can you tell if a system of linear equations has no solution? What is the relationship between the graphs of the two equations?
Problem 103
Determine whether each statement makes sense or does not make sense, and explain your reasoning. Every linear system has infinitely many ordered-pair solutions.
Problem 106
When graphing a linear inequality, I should always use \((0,0)\) as a test point because it's easy to perform the calculations when 0 is substituted for each variable.
