Special Solutions in Absolute Value Equations
Objective: Solve absolute value inequalitiesIdentify special solutions for absolute value inequalities
Next
Zoom Poll: Which number line shows "NO SOLUTION"?
Next
Zoom Poll: Which solution set is "ALL REAL NUMBERS"?
Next
Possible or Impossible?
Next
Absolute values do not yield a negative value.
Next
Absolute values do not yield a negative value.
Next
Absolute values do not yield a negative value.
When you see an equation like |x| = -4, you know that the equation has NO SOLUTION. Similarly, an inequality like |x| < -4, you know that the inequality has no solution. The absolute value of x cannot be less than a negative value.
Next
Solve & Graph the inequality
|8 - 2x| > -8
Next
Solve & Graph the inequality
|3x-6| < 0
Next
In other words...
An absolute value greater than a negative value?|x+1| > -8 Duhh. Of course it has to be greater than a negative! ALL REAL NUMBERS!
An absolute value less than a negative value?|x+1| < -8 No way! It can't be negative! NO SOLUTION!
Next
Next
steps
-4|x+1|>4
Isolate the absolute value.
Rewrite with AND/OR.
Solve each case.
Graph the solution set.
Write the final inequality.
Next
steps
-4|x+1|<4
Isolate the absolute value.
Rewrite with AND/OR.
Solve each case.
Graph the solution set.
Write the final inequality.
Next
Which inequality has a solution set of ALL REAL numbers?
Next
Special Solutions in Absolute Value Equations
You should be able to: Solve absolute value inequalities Identify special solutions for absolute value inequalities
abs val special solutions
HS: High School
Created on November 26, 2024
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Transcript
Special Solutions in Absolute Value Equations
Objective: Solve absolute value inequalitiesIdentify special solutions for absolute value inequalities
Next
Zoom Poll: Which number line shows "NO SOLUTION"?
Next
Zoom Poll: Which solution set is "ALL REAL NUMBERS"?
Next
Possible or Impossible?
Next
Absolute values do not yield a negative value.
Next
Absolute values do not yield a negative value.
Next
Absolute values do not yield a negative value.
When you see an equation like |x| = -4, you know that the equation has NO SOLUTION. Similarly, an inequality like |x| < -4, you know that the inequality has no solution. The absolute value of x cannot be less than a negative value.
Next
Solve & Graph the inequality
|8 - 2x| > -8
Next
Solve & Graph the inequality
|3x-6| < 0
Next
In other words...
An absolute value greater than a negative value?|x+1| > -8 Duhh. Of course it has to be greater than a negative! ALL REAL NUMBERS!
An absolute value less than a negative value?|x+1| < -8 No way! It can't be negative! NO SOLUTION!
Next
Next
steps
-4|x+1|>4
Isolate the absolute value.
Rewrite with AND/OR.
Solve each case.
Graph the solution set.
Write the final inequality.
Next
steps
-4|x+1|<4
Isolate the absolute value.
Rewrite with AND/OR.
Solve each case.
Graph the solution set.
Write the final inequality.
Next
Which inequality has a solution set of ALL REAL numbers?
Next
Special Solutions in Absolute Value Equations
You should be able to: Solve absolute value inequalities Identify special solutions for absolute value inequalities