5-5 Inequalities Involving Absolute Value

| 2w - 1 | < 11

• No Solution

• w < 5

• -5 < w and w < 6

• -6 < w and w < 5

Tags

CCSS.HSA.REI.B.3

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

| x + 3 | > 8

• No Solution
• All Real Numbers
• x < -11  or  x > 5
• -5 < x < 11

Tags

CCSS.HSA.REI.B.3

CCSS.HSA.CED.A.1

What is the correct first step?

• divide by 10
• multiply by 10
• make it two inequalities with an "or"
• make it two inequalities with and "and

Tags

CCSS.HSA.REI.B.3

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

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

• and
• or

Tags

CCSS.HSA.REI.B.3

An absolute value inequality is

• an inequality that contains an absolute value expression

• impossible to solve

• an equation that contains an absolute value expression

• always going to have two solutions

Tags

CCSS.HSA.REI.B.3

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

• and
• or

Tags

CCSS.HSA.REI.B.3

CCSS.HSA.CED.A.1

What kind of inequality is this? |x-2|<7

• AND compound inquality
• OR compound inequality

Tags

CCSS.HSA.CED.A.1

When graphing "AND" inequalites, shading looks like___

• Shading that always connects the 2 dots.
• Shading that always points away from each dot
• 2 shaded arrows pointing in same direction(both left)
• 2 shaded arrows pointing in same direction (both right)

Tags

CCSS.HSA.REI.D.12

| 3x - 9 | < 3

• x < - 10 or x > - 2
• -10 < x < - 2
• x < 2 or x > 4
• 2 < x < 4

Tags

CCSS.HSA.REI.B.3

CCSS.HSA.CED.A.1

|-9v| < 54

• -6<v<6
• v<-6 or v>6
• v=6 or v=-6
• -6>v<6

Tags

CCSS.HSA.REI.B.3

CCSS.HSA.CED.A.1