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How do you tell a linear inequality from a quadratic inequality?
In a linear inequality the variable is only present raised to the first power (which is usually not explicitly shown). In a quadratic the square of the variable is present (or implied). The square can be implied in an inequality such as x + 1/x < 6 (x not 0) This is equivalent to x2 - 6x + 1 < 0
The solutions to a linear inequality are the points in the plane that make the inequality true?
Yes, and no. The solution set to an inequality are those points which satisfy the inequality. A linear inequality is one in which no variable has a power greater than 1. Only if there are two variables will the solution be points in a plane; if there are more than two variables then the solution set will be points in a higher space, for example the solution set to the linear inequality x + y + z < 1 is a set of points in three dimensional space.
What are the three dimensions of inequality?
class-market situation status-social prestige/lifestyle party-power
What is the definition of algebraic inequality?
algebraic inequality, is an inequality that contains at least one variable.
When subtracting a number from both sides of an inequality?
The inequality is maintained with the direction of the inequality unchanged.
