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What is compound inequality in math?
According to the site Math Planet, 'A compound inequality contains at least two inequalities that are separated by either "and" or "or".' In the case of "and", a compound inequality such as x > -1 and x < 2 can also be written as: -1 < x < 2 (I also took this example from Math Planet.) There is no such shortcut for the "or" case.
The term and in a compound inequality means that the solution will be .?
toast! "DING"
What is the solution set of the compound inequality x plus 1 is less than neg2x plus 11 is less than 3x plus 5?
This compound inequality cannot be solved.
What is the difference between graphing a line and graphing an inequality?
when graphing a line you simply plot the points based on the ordered pairs and connect the dots; there you have a line. An inequality graph refers to the shaded region of the coordinate plane that does not coincide with the line, hence the term, inequality.
What is the difference between linear equations and linear inequalities?
It is easiest to describe the difference in terms of coordinate geometry. A linear equation defines a straight line in the coordinate plane. Every point on the line satisfies the equation and no other points do. For a linear inequality, first consider the corresponding linear equality (or equation). That defines a straight line which divides the plane into two. Depending on the direction of the inequality, all points on one side of the line or the other satisfy the equation, and no point from the other side of the line does. If it is a strict inequality (< or >) then points on the line itself are excluded while if the inequality is not strict (≤or ≥) then points on the line are included.
