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# IM1 Chapter 2

### Graphs, Equations, and Inequalities

TermDefinition
First Differences determined by calculating the differences between successive points
Solution any value that makes the open sentence true
Intersection Point the ordered pair that satisfies both functions at the same time
Solve an inequality to determine the values of the variable that make the inequality true
compound inequality an inequality that is formed by the union, "or," or the intersection, "and," of two simple inequalities
solution of a compound inequality in the form, a<x<b, where a and b are any real numbers, is the part or parts of the solutions that satisfy both of the inequalities
conjunction a compound inequality of the form a<x<b
disjunction a compound inequality of the form x<a or x>b
opposites two numbers that are equal distance, but are in different directions, from zero on the number line
absolute value its distance from zero on the number line
linear absolute value equation an equation of the form a +b|cx + d| + f = g, where a, b, c, d, f, and g are any real numbers
linear absolute value inequality an inequality of the form a +b|cx + d| + f < g, where a, b, c, d, f, and g are any real numbers
equivalent compound inequality when you separate an absolute value inequality into a compound inequality
Created by: cbaumler