Graphing Absolute Value Inequalities

What is the reason that absolute value is always written as a positive?

• Absolute value is talking about numbers so it must be positive.
• Absolute value does not always have to be positive.
• Absolute value is like a clock it has only positive numbers.
• Absolute value is talking about distance, distance is always measured by positive numbers.

Tags

CCSS.6.NS.C.7C

• No Solution

• a > -1/6 or a < -5/6

• a > 1/2 or a < -3/2

• All Real Numbers

 Solve:
|−2n| + 10 = −50

• {30, -30}
• {20,-20}
• {-5,5}
• No Solution

Tags

CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.NS.C.7

|-9v| < 54

• -6<v<6
• v<-6 or v>6
• v=6 or v=-6
• -6>v<6

Tags

CCSS.HSA.REI.B.3

CCSS.HSA.CED.A.1

Solve and graph:

• A
• B
• C
• D

Tags

CCSS.HSA.REI.B.3

CCSS.HSA.REI.D.12

Solve:  -3 ≤ 2x - 1 ≤ 5

• -1 ≤ x ≤ 3
• -1 < x < 3
• 1 < x < 3
• 1 ≤ x ≤ 3

Tags

CCSS.HSA.REI.B.3

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

| 2w - 1 | < 11

• No Solution
• All Real Numbers
• -5 < w < 6
• -6 < w < 5

Tags

CCSS.HSA.REI.B.3

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

−2|−2r − 4| = -12

• {5,1}
• {-5, -1}
• {-5, 1}
• No Solution

Tags

CCSS.7.EE.B.3

 $y\ =\ 2x\ -2\ \ \ solve\ for\ x$  

•  $x\ =\ \frac{y-2}{2}$  

•  $x\ =\ 2y-2$  

•  $x=\frac{y+2}{2}$  

•  $x\ =\ y\ +2$  

Tags

CCSS.6.EE.C.9

 $3y\ =\ 2g\left(x+h\right)\ \ solve\ for\ x$  

•  $x\ =\ \frac{3y+h}{2g}$  

•  $x\ =\ \frac{3y-h}{2g}$  

•  $x\ =\ \frac{3y}{2g}+h$  

•  $x\ =\ \frac{3y}{2g}-h$  

Tags

CCSS.HSA.CED.A.4