Absolute Value Inequalities

| 2x + 12 | < 8
Which is the correct first step?

• 2x + 12 < 8 and 2x+12 >-8
• 2x + 12 < 8 or 2x+12 >-8
• 2x + 12 < 8 and 2x+12 <-8
• 2x + 12 < 8 or 2x+12 >-8

Tags

CCSS.HSA.REI.B.3

CCSS.HSA.CED.A.1

| x - 6 | < 4
Is this an "and"  or an "or" problem?

• and
• or

Tags

CCSS.HSA.REI.B.3

CCSS.HSA.CED.A.1

| x - 2 | > 3
Is this an "and"  or an "or" problem?

• and
• or

Tags

CCSS.HSA.REI.B.3

Solve.
|-3d| ≥ 6.3

• -18.9 ≤ f ≤ 18.9
• no solution
• f ≤ -2.1 or f ≥ 2.1
• -2.1 ≤ f ≤ 2.1

Tags

CCSS.HSA.REI.B.3

CCSS.HSA.CED.A.1

Solve.
|c + 4| < 5

• x < -9 or x > 1
• -9 < x < 1
• x < 9 or x > -1
• -1 < x < 9

Tags

CCSS.HSA.REI.B.3

CCSS.HSA.CED.A.1

Solve.
|y - 4| ≥ 8

• y ≤ -4 or y ≥ 12
• -4 ≤ y ≤ -12
• y ≤ 4 or y ≥ -12
• -12 ≤ x ≤ 4

Tags

CCSS.HSA.REI.B.3

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

Solve.
|p + 3| ≥ 10

• -13 ≤ p ≤ 7
• p ≤ -13 or p ≥ 7
• -7 ≤ p ≤ 13
• p ≤ -7 or p ≥ 13

Tags

CCSS.HSA.REI.B.3

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

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

Tags

CCSS.HSA.REI.B.3

CCSS.HSA.REI.A.1

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

Tags

CCSS.HSA.REI.B.3

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

Solve.
-5|x - 4| > -20

• x < 8 and x > 0
• x > 8 or x < 0
• all real numbers
• no solution

Tags

CCSS.HSA.REI.B.3

CCSS.HSA.CED.A.1