# Chapter four (Alg 2) Flashcards

1
Q

Linear inequalities

A

x7, with one variable

2
Q

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

A

You reverse the inequality symbol

3
Q

Graph of an inequality

A

all points on a number line that satisfy the inequality

4
Q

Compound Inequality

A

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

5
Q

Linear inequality in two variables

A

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

6
Q

half planes

A

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

7
Q

Graphin a linear inequality

A

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

8
Q

Absolute value

A

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

9
Q

Absolute value equation

A

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

10
Q

Solving an Absolute value equation

A

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

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

11
Q

Howto write an absolute value equation

A

|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

12
Q

Absolute value inequality

A

ax + b | , = c

13
Q

Solving Absolute value inequalities

A

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

ax + b | c {} ax + b c

14
Q

Describe the function y = |x|

A

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

15
Q

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

A

If a > 0, the graph opens up
If a 1, the graph will be narrower
If |a|