Honors: Solving Absolute Value Inequalities

Solve:
 |x + 3| > 8

• x > 5 or x < -11
• x > 5
• all real numbers
• no solution

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

Solve:
3 | 2x + 7| - 7 < -4

• x < -3 and x > -5/3
• x < -3 and x > -4
• all real numbers
• no solution

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

Which compound inequality represents the graph?

• m < -1 OR m > 2
• -1 < m < 2
• m > -1 OR m < 2

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

| x - 2 | > 3 Is the solution

• and
• or

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

What solution is represented by the graph?

• -2 < x < 5
• x < -2 or x > 5
• x ≥ -2 OR x < 5
• -2 ≤ x ≤ 5

Tags

CCSS.HSA.CED.A.3

CCSS.HSA.REI.D.12

Write an inequality for Graph 3.

(Select all that apply)

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

What kind of compound inequality is this?

• conjunction

• disjunction

Tags

CCSS.HSA.REI.B.3

When graphing the solutions to disjunctions, the shading looks like___

• Shading that connects the 2 dots
• Shading that points away and never crosses.
• Shading that points toward each other and ALWAYS crosses
• Shading that points opposite, but sometimes crosses.

Tags

CCSS.HSA.REI.D.12

When graphing conjunctions, 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