# quadratic inequalities multiple choice questions math homework help

Which graph shows the inequality?

y ≥ 2×2 + x ­- 3

 A. B. C. D.

======================================

The graph of a quadratic inequality is shown below. Use the graph to find the solutions to the inequality in terms of x.

a. x ≤ ­-2 or x ≥ 1

b. x < 2 or x > 1

c. -2 ≤ x ≤ 1

d. -2 < x < 1

================================

The graph of a quadratic inequality is shown below. Use the graph to find the solutions to the inequality in terms of x.

a. x < ­-1 or x > 4

b. x ≤ -­1 or x ≥ 4

c. -1 ≤ x ≤ 4

d. -1 < x < 4

============================

Choose the statement that is true about the graph of the quadratic inequality.

y ≤ 5×2 + 6x + 2

a. Points on the parabola are not solutions.

b. The vertex is (-3/5, 1/5) .

c. The parabola opens down.

d. (0, 0) is not a solution.

===================================

Which ordered pair is not a solution to the inequality?

y ≥ 2×2 -­ 7x -­ 10

a. (0, ­-4)

b.(­-1,­-1)

c. (4,-­13)

d. (5,15)

===============================

Which quadratic inequality is graphed below?

a. y ≥ x2 + 2

b. y ≤ x2 -­ 2

c. y ≥ (x -­ 2)2

d. y ≥ (x + 2)2

=====================================

Find the solutions to the inequality.

x2 + 7x ­- 8 > 0

a. x < – ­8 or x > 1

b. – 8 < x < 1

c. x < ­- 1 or x > 8

d. -1 < x < 8

===================================

Find the solutions to the inequality.

x2 + 3x ­- 28 < 0

a. x < ­-7 or x > 4

b. x < ­-4 or x > 7

c. -7 < x < 4

d. -4 < x < 7

=============================

Which graph shows the inequality?

y < 2×2 + 3x ­ – 5

 A. B. C. D.

===============================

If (x + 1)(x ­- 2) is positive, which statement must be true?

a. x < -­ 1 or x > 2

b. x > – ­1 or x < 2

c. – 1 < x < 2

d. -2 < x < 1