Download Solve Absolute Value Equation Two Solutions to

Chapter 5.5
Solving Open Sentences With
Absolute Values
Check 3102.3.14 Solve absolute value equations and inequalities
(including compound inequalities) with one variable and graph their
solutions on a number line.
and 3102.3.18 Analyze the characteristics of graphs of basic linear
relations and linear functions including constant function, direct
variation, identity function, vertical lines, absolute value of linear
functions. Use technology where appropriate.
Review
Franklin D. Roosevelt: It is common sense to take a
method and try it. If it fails, admit it frankly and try
another. But above all, try something.
• Define Absolute Value
• What is the absolute value of the following:
|20| |-25| |x| |-a|
20
25
x
a
Absolute Value Inequalities
|x| = 5
0
{x|-5<x<5}
Solve Absolute Value Equation
|a - 4|= 3
a - 4= 3
+ 4= +4
a=7
Two Solutions to Absolute Value Equations
1. Value Inside Symbols is positive
2. Value inside symbols is negative
a - 4= -3
+ 4= +4
a=1
Solve Absolute Value Equation
|t + 5|< 9
t + 5< 9
- 5 -5
t<4
Two Solutions to Absolute Value Equations
1. Value Inside Symbols is positive
2. Value inside symbols is negative with the
opposite sign
t + 5 > -9
- 5 -5
t > -14
Solve Absolute Value Equation
|3y -3|> 9
3y -3> 9
+3 +3
Two Solutions to Absolute Value Equations
1. Value Inside Symbols is positive
2. Value inside symbols is negative
3y -3 < -9
+3 +3
3y > 12
3y < -6
y>4
y < -2
Word Problems - Inequalities
• pH of a buffered eye solution must be within 0.002
of a pH of 7.3
7.298  ph  7.302
Word Problems - Inequalities
• The average length of a human pregnancy is 280 days.
However, a healthy, full-term pregnancy can be 14 days
longer or shorter. Write an absolute value inequality for
the length of a full-term pregnancy.
266  pregnancy  294
• Solve the inequality for the length of a full-term
pregnancy. Graph your results.
266
294
Practice
• Page 312, 8 – 40 even*