Transcript Document 7512643
Lesson 1.6: Solving Compound and Absolute Value Inequalities
Objectives:
• Solve Compound Inequalities • Solve Absolute Value Inequalities
Compound Inequalities
• Intersection --- “
AND
” • Solve the following compound inequality the graph the solution set on a number line.
10 3
y
• You can solve an intersection each side separately or you can solve and intersection both sides together.
Compound Inequalities
• Union --- “
OR
” • Solve the following compound inequality and the graph the solution set on a number line.
x x
4 • You must solve unions separately.
Quick Check:
• Solve the following compound inequalities and graph their solution sets on a number line.
4
y m
m
Absolute Value Inequalities
• Great”OR” Than --- creates an “OR”
c
.............
c
or
ax b c
• Less Than --- creates an “AND”
c
..........
c
Examples
• Solve the following inequalities and graph the solution set on a number line.
2
x
4 6
Quick Check
• Solve each inequality. Graph the solution set on a number line.
4
x
13 5
z
17 • Rachel is considering colleges to attend and determines that the average tuition among her choices is $3725 per year, but the tuition at a school could differ by as much as $1650 from the average. Write and solve an absolute value inequality to find the range of tuition.
Writing an Absolute Value Inequality From a Graph
Homework
• Page 45 and 46 --- 13 – 51 every other odd.
• Make sure you are studying for the Chapter 1 Test… practice tests and study guides are available on-line as well as in your book.
• Please read and take notes on Section 2.1 Relations and Functions for the day after the test.