absolute value and compound inequalities

An absolute value can NOT equal...

• a positive number
• a negative number

 |−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.REI.B.3

CCSS.HSA.CED.A.1

Solve: |x - 7| > 3

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

Tags

CCSS.HSA.REI.B.3

CCSS.HSA.CED.A.1

Solve |2x –3| + 5 =10.

• -1, 1
• -1, 4
• -1, -4
• 1, 4

Tags

CCSS.HSA.REI.B.3

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

−2|−2r − 4| = -12

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

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.

Evaluate each expression.
| x + 9 | = -5

• -14
• -4
• {-14, -4}
• no solution

Tags

CCSS.8.EE.C.7

−2|−2r − 4| = -12

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

Tags

CCSS.7.EE.B.3

Evaluate each expression.
| 9 |

• 0.9
• 9
• -9
• 90

Tags

CCSS.6.NS.C.7C