Solving Absolute Equations and Inequalities

Solve.
6 - 2|m -3| > -4

• -8 < m < 2

• m < -8 or m > 2

• m < -2 or m > 8

• -2 < m < 8

• v>5 or v<-5
• v≥5 or v≤-5
• v>-5 or v<5
• all real numbers

no solution

-6 < x < 26

x < -6 or x > 26

all real numbers

• no solution

• -6 < x < 26

• x < -6 or x > 26

• all real numbers

• no solution
• all real numbers 
• -2 ≤ n ≤ 16
• n ≤ -2 or n ≥ 16

 |−2n| + 10 = −50

• {30, -30}

• {20,-20}

• {-5,5}

• No Solution

What is the first step?

• Drop the absolute value bars by splitting into two equations

• Add 2 to both sides

Tags

Absolute Value Equations

What is the first step? 

• Drop the absolute value bars by splitting into two inequalities 

• Drop the absolute value bars and subtract 7 from both sides

Tags

Absolute Value Inequalities

After you split into two inequalities, what would they look like?

• x + 7 > 1        
     
  x + 7 > -1

• x + 7 > 1

• x + 7 > 1
  X + 7 < -1

Tags

Absolute Value Inequalities

What is the correct way to write this answer? 

• x < - 8 OR x > - 6

• x < - 8 AND x > - 6

• -8 < x < 6

Tags

Absolute Value Inequalities

Solve:
 |x + 3| > 8

• x > 5 or x < -11

• x > 5

• all real numbers

• no solution

Tags

Absolute Value Inequalities