Inequalities and Absolute Value

Solve and graph:

• A
• B
• C
• D

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.12

Solve:

• A
• B
• C
• D

Tags

CCSS.HSA.REI.B.3

0 < x + 7 < 9

• -7<x   and   x<2
• -7<x   or   x<2
• -7>x   and   x>2
• -7>x  or   x>2

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

Solve: -3 ≤ 2x - 1 ≤ 5

• -1 ≤ x ≤ 3

• -2 ≤ x ≤ 6

• -3 ≤ x ≤ 3

• 1 ≤ x ≤ 3

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

Solve:  
3x + 2 < -4  or  4x + 4 > 24

• x < -2  or  x > 5 
• x < 2  or  x > 5
• x < -2  and  x > 5 
• x < 2  and  x > 5

Tags

CCSS.7.EE.B.4A

An absolute value can NOT equal...

• a positive number
• a negative number

 |−2n| + 10 = −50

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

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.CED.A.1

CCSS.HSA.REI.B.3

Solve |2x –3| + 5 =10.

• -1, 1
• -1, 4
• -1, -4
• 1, 4

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

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.