# Chapter four (Alg 2) Flashcards

Linear inequalities

x7, with one variable

If when solving for a linear inequality (multiplying or diving to change signs)

You reverse the inequality symbol

Graph of an inequality

all points on a number line that satisfy the inequality

Compound Inequality

two inequalities joined by the word “and” or “or”

Linear inequality in two variables

an inequality that can be written in one of these forms, where A, B, and C are constants {Ax + By , =C}

half planes

The boundary line of the inequality divides the coordinate plane into two half planes.

Graphin a linear inequality

graph the bondary line of the inequality, use dashed for not equal to, use solid for equal to

Absolute value

written as |x|, is the distance from the number to 0 on a number line

Absolute value equation

|x| = c where c > 0, has two answers

Solving an Absolute value equation

| ax +b = c or ax + b = -c

ax + b | = c is equivelent to the compound statement

Howto write an absolute value equation

|x - (midpoint), you can find this by taking the avg. of the numbers you want to find the midpoint for,

| x - (midpoint) | = distance

{}

You’ll in the end have an absolute equation that has 2 solutions

Absolute value inequality

ax + b | , = c

Solving Absolute value inequalities

| | ax + b | >= c {} ax + b = c

ax + b | c {} ax + b c

Describe the function y = |x|

V-shaped, consists of two rays that have a common endpoint at the origin known as the vertex

Describe the function y = |x| (Prt 2)

If a > 0, the graph opens up

If a 1, the graph will be narrower

If |a|