Absolute Value and Inequalities

Which compound inequality involves >,≥ when solving absolute value inequalities?

• and

• or

What is the first step?

• Get the absolute value alone by dividing both sides by 5

• Drop the absolute value bars and add 7 and 5 together

• Get the absolute value alone by subtracting 5 from both sides

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

What is the correct way to write this answer? 

• x < - 8 OR x > - 6

• x < - 8 AND x > - 6

• -8 < x < 6

What is the first step? 

• Get absolute value alone by subtracting 5 from both sides

• Get absolute value alone by dividing by 5 on both sides

• Split into two equations

What is the first step?

• Drop the absolute value bars by splitting into two equations

• Add 2 to both sides

What is the correct way to write the answer? 

• x = -2 AND x = 6

• x = -2 OR x = 6

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

Which inequality represents the graph?

• -8 < x < -6

• x < - 8 AND x > - 6

• x < - 8 OR x > - 6

Solve. 
5 + |3v| > 20 

• v>5 or v<-5

• v≥5 or v≤-5

• v>-5 or v<5

• all real numbers