JVHS Solve Absolute Value Equations & Inequalities

Solve for x:

∣ 2x + 9 ∣ = 15

• S = { 3 }

• S = { -6, 3 }

• S = { -12, 3 }

• S = { -12, 6 }

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

|6 - 2k| = 18

• S = { -6 }

• S = { -6, 12 }

• S = { -12, -6 }

• S = { -6, 5 }

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Solve the inequality.

|m| + 5 < 9

• (-∞, 4)

• (-∞, -4)

• (-4, 4)

• [-4, 4]

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

Solve the inequality.

|x + 4| - 8 > 2

• (6, 10)

• (-∞, -14) U (6, ∞)

• (-∞, ∞)

• ∅

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

Solve the inequality.

| x + 3 | ≤ 2

• [ 1, 5 ]

• [ -5, -1 ]

• (-∞, ∞)

• ∅

Tags

CCSS.HSA.REI.B.3

Solve:

| 12 + w | ≥ −5

• [ -17, -7 ]

• (-∞, -17] U [-7, ∞)

• (-∞, ∞)

• ∅

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

Solve:

| 2x + 1 | < −1

• ( 3, 4 )

• (-∞, 3) U (4, ∞)

• (-∞, ∞)

• ∅

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

Solve:

−3| 2t−3 | + 5 > −16

• ( 1/3, 5 )

• (-∞, -2) U (5, ∞)

• (-∞, ∞)

• (-2, 5)

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

| 2x - 3 | + 5 = 12

• S = { -2 }

• S = { -2, 5 }

• S = { 5 }

• [ -2, 5 ]

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

What are the solutions to:

x < −2   or -6 ≤ x

• [ -6, 2)

• (-∞, -2)

• (-∞, ∞)

• ∅

Tags

CCSS.HSA.REI.B.3