Evaluate Inequalities

Assuming the scale is 1, determine where f(x) ≤ 0.

• (-oo, 2) U (2, 4)

• (-oo, 2] U [2, 4]

• (-oo, 4]

• Not given

Tags

CCSS.HSF-IF.C.7A

Assuming the scale is 1, where is f(x) > 0?

• [-4, -1] U [2, +oo)

• (-4, -1) U (2, +oo)

• (-oo, -4] U [-1, 2]

• (-oo, -4) U (-1, 2)

Assuming the scale is 1, where is f(x) < 0?

• [-4, -1] U [2, +oo)

• (-4, -1) U (2, +oo)

• (-oo, -4] U [-1, 2]

• (-oo, -4) U (-1, 2)

Solve the inequality without a graph:
 (x - 3)² ≥ 1

• [2, 4]

• (-oo, 2] U [4, +oo)

• (-oo, 2) U (4, +oo)

• Not given

Solve the inequality without a graph:
(x - 2)(x + 3)²(x² + 4) ≥ 0

• [2,∞)

• [-3] U [2,∞)

• (2,∞)

• Not Given

Solve the inequality without a graph:
x⁴ + 35x² > 36

• (-oo, -6) U (-6, -1) U (-1, 1) U (1, 6) U (6, +oo)

• (-oo, -1) U (1, +oo)

• (-oo, -6) U (6 +oo)

• Not given

Assuming the scale is 1, where is f(x) < 0?

• (-4, 2)

• [-4, 2]

• (-oo, -4) U (2, 4)

• (-oo, -4] U [2, 4]

Solve the inequality graphically.
2x³ + 3x² - 17x - 30 < 0

• (-2.5,-2) U (3,∞)

• (-∞,-2.5] U [-2,3]

• (-∞,-2.5) U (-2,3)

• [-2.5,-2] U [3,∞)