Absolute Value and Quadratic Inequalities

Which number line illustrates the graph of the x² - 5x + 4 < 0?

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Solve the absolute value inequality: |2x - 5| < 7

• x < -1

• x > 6

• -1 < x < 6

• -1 < x < 4

Solve the quadratic inequality: 2x^2 + 5x - 3 ≤ 0

• x ∈ (-3, 1/2)

• x ∈ (-∞, -3) ∪ (1/2, ∞)

• x ∈ (-3, 1/2]

• x ∈ (-∞, -3] ∪ (1/2, ∞)

Solve the absolute value inequality: |3x + 2| ≥ 10

• x ≤ -6 or x ≥ 4

• x ≤ -2 or x ≥ 6

• x ≤ -8 or x ≥ 12

• x ≤ -4 or x ≥ 2

Solve the quadratic inequality: x^2 + 6x + 9 > 0

• x < -3

• x < 3

• x > -3

• x > 3

Solve the absolute value inequality: |4x - 1| > 3

• x < -0.5 and x > 1

• x < -0.5 or x > 1

• x > -0.5 or x > 1

• x < -0.5 or x < 1

Solve the absolute value inequality: |5x + 2| ≤ 8

• -2/5 < x ≤ ∞

• -2/5 ≤ x ≤ ∞

• -2/5 ≤ x < ∞

• -2/5 < x < ∞

Solve the quadratic inequality: 3x^2 - 2x + 1 ≥ 0

• x ∈ (-∞, 0)

• x ∈ (-∞, +∞)

• x ∈ (0, 1)

• x ∈ (1, +∞)

Solve the absolute value inequality: |6x - 7| < 5

• x > 2

• 1/3 < x < 2

• x < 0

• x < 1/3

Solve the quadratic inequality: x^2 - 4x + 3 > 0

• x ∈ [1, 3]

• x ∈ (-∞, 1)

• x ∈ (3, ∞)

• x ∈ (1, 3)