absolute value

|v + 8| − 5 = 2 

• {-1,-15}
• {-1,-5}
• {-15,15}
• No Solution

-|−2r − 1| = 11

• {-6,5}
• {5,-6}
• -6
• No Solution

−2|−2r − 4| = -12

• {3,1}
• {-5,1}
• {-3}
• No Solution

 |−2n| + 10 = −50

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

|m-2| < 8

• 9>m>8
• 2 < m < -6
• -6 < m < 10
• 0>m<0

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

Solve: |x - 7| > 3

• x > 4 OR x < 10
• 4 < x < 10
• x > 10 OR x < 4

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

Which compound inequality represents the graph?

• m < -1 OR m > 2
• -1 < m < 2
• m > -1 OR m < 2

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

Write an inequality for Graph 3.

• x=7
• x ≤ -2 OR x > 5
• x ≥ -2 OR x < 5
• -2 ≤ x < 5