Algebra 2 - Inequalities/Absolute Value

3| −8x| + 8 = 80

• {-7/3, 7/3}
• {-3,3}
• {11/3,-11/3}
• No Solution

 |−2n| + 10 = −50

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

Solve |2x –3| + 5 =10.

• -1, 1
• -1, 4
• -1, -4
• 1, 4

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.

Who?

• Buzz
• Woody
• Lumber
• Slink

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

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

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

To  graph any number greater than we use 

• open circle, line to the right  
• open circle, line to the left 
• closed circle to the right
• closed circle line to the left

What does the number line show?

• x = 3
• x > 3
• x < 3
•  x > 6