Solving absolute value inequalities

Solve the inequality below. Express the solution in interval notation.

6 - 2|m -3| > -4

• $\left(-8,2\right)$
  

• $\left(-\infty,-8\right)or\left(2,\infty\right)$

• $\left(-\infty,-2\right)or\left(8,\infty\right)$
  

• $\left(-2,8\right)$
  

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

What is the interval notation for the solution graphed here?

• [-2, 5)

• (-2, 5]

• $\left(-\infty,-2\right]\ or\ \left(5,\infty\right)$

• $\left[-2,-\infty\right)\ or\ \left(5,\ \infty\right)$

Tags

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

Look at the Graph. Write the inequality in interval notation.

• [-4, -1)
• (-4, -1)
• (-4, -1]
• [-4, -1]

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.D.12

When graphing b< 6 would you use an open or closed circle?

• open
• closed

Tags

CCSS.6.EE.B.8

Look at the picture. Which number line corresponds to [-2, 5]?

• Graph 1
• Graph 2
• Graph 3
• Graph 4

Tags

CCSS.6.EE.B.8

Look at the picture. Which graph best represents the solution set (-∞, -2) U (5, ∞)?

• Graph 1
• Graph 2
• Graph 3
• Graph 4

Tags

CCSS.HSN.RN.B.3

Solve

• 
  

   $\left(-\infty,-7\right)\ or\ \left(1,\infty\right)$  

•  $\left(-7,-1\right)$  

•  $\left(-\infty,-7\right)\ or\ \left(-1,\ \infty\right)$  

• no solution

• no solution
• -6 < x < 26
• x < -6 or x > 26
• all real numbers

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

Solve.
3|2d + 9| + 13 = 10

• d = 5 or d = -1
• d = -4 or d = 5 
• d = 4 or d = -5
• no solution

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Solve:

3 | 2x + 7| + 7 < 4

• 
  

  $\left(-\infty,-3\right)\ or\ \left(-\frac{5}{3},\infty\right)$

• $\left(-\infty,-3\right)\ or\ \left(-4,\ \infty\right)$

• all real numbers

• no solution