Chapter four (Alg 2)

Question 1

Linear inequalities

Answer 1

x7, with one variable

Question 2

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

Answer 2

You reverse the inequality symbol

Question 3

Graph of an inequality

Answer 3

all points on a number line that satisfy the inequality

Question 4

Compound Inequality

Answer 4

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

Question 5

Linear inequality in two variables

Answer 5

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

Question 6

half planes

Answer 6

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

Question 7

Graphin a linear inequality

Answer 7

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

Question 8

Absolute value

Answer 8

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

Question 9

Absolute value equation

Answer 9

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

Question 10

Solving an Absolute value equation

Answer 10

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

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

Question 11

Howto write an absolute value equation

Answer 11

|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

Question 12

Absolute value inequality

Answer 12

ax + b | , = c

Question 13

Solving Absolute value inequalities

Answer 13

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

ax + b | c {} ax + b c

Question 14

Describe the function y = |x|

Answer 14

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

Question 15

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

Answer 15

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