On Equations of Intersecting, Coinciding, and Parallel Lines

When we have two lines on a plane, there are three possibilities: the lines will never meet (parallel) the lines will meet at one point (intersecting) the lines will meet at infinitely many points (coinciding). As for the third case, coinciding means that lines which are on top of each other. In Algebra, we have […]
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How to Represent Inequalities in One Variable

The inequality x > 3 means all numbers greater than 3. The set of numbers that makes the inequality true is called the solution set of the inequality. An instance of this numbers such as 4 is a solution to x > 3. The graph of x > 3 is shown on the number line below. The “empty circle” […]
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Sad News: John Nash dies at 86

Perhaps the saddest news this week are the deaths of famous mathematician John Nash, 86, and wife Alicia, 82 in a car accident last Saturday, May 23. Nash was known for his work in Economics (Game Theory) particularly on the Nash equilibrium as well as his contributions real algebraic geometry.  He received the Nobel Prize […]
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