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|