Linear inequalities (one variable)

Solve the inequality. 
|k| - 6 ≤ -1

• k ≤ 5
• k ≤ -5
• k ≤ -5, 5
• -5 ≤ k ≤ 5

Solve this absolute value inequality:

6 - 2|m -3| > -4

• -8 < m < 2
• m < -8 or m > 2
• m < -2 or m > 8
• -2 < m < 8

 $\left|-2x\right|<4$  

•  $\left\{-2,\ 2\right\}$  

•  $x>-2\ and\ x<2$  

• No Solution

•  $x<-2\ or\ x>1$  

Identify the negative interval.

• (1, ∞)

• (-∞, 1)

• (0, 0)

• None

Solve for x.

Show your work on paper!! Then select the correct answer.

• x ≥ -13 and x ≤ -3

• x > -13 and x < -3

• x ≥ -13 or x ≤ -3

• x > -13 or x < -3

Solve:

|x + 3| > 8

• $\left(-\infty,-11\right)\cup\left(5,\infty\right)$
  

• $\left(5,\infty\right)$

• $\left(-11,5\right)$
  

• no solution

When should you write two expressions for an absolute value inequality?

• After isolating the absolute value symbol and determining "and" or "or" statement

• Before solving the inequality

• When the inequality has a greater than symbol

• When the inequality has a less than symbol

|-9v| < 54

• v>-6 and v<6
• v<-6 or v>6
• v>-6 or v<6
• v<-6 and v>6