Solving Absolute Value Inequalities Algebra

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

• v>5 or v<-5

• v≥5 or v≤-5

• v>-5 or v<5

• all real numbers

• no solution
• a> -1/6 or a< -5/6
• a>1/2 or a< -3/2
• all real numbers

• no solution
• -6 ≤ r ≥ 8
• 6 > r > -8
• -6 < r < 8

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

• n > 1 or n < -7
• n > -1 or n < -7
• -7 < n < -1
• no solution

• A

• B

• C

• D

Describe the first step in solving the absolute value inequality

• Add 5 on both sides

• Divide both sides by -5

• Set up two inequalities

• no solution

| 2w - 1 | < 11

• No Solution

• All Real Numbers

• -5 < w < 6

• -6 < w < 5

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's a way to define absolute value?

• The value of a number

• The opposite of a number

• The distance of a number from zero

• The multiplicative inverse of a number