Quadratic Inequalities

Question 1

To solve x^2 - 64 0, a student answered -8 x 8. What is the correct solution in interval notation?

Accepted Answer

(-infinity, -8] U [8, infinity)

Answer

[-8, 8]

Answer

(-8, 8)

Answer

(-infinity, -8) U (8, infinity)

Question 2

Solve x^2 + 2x 0. Write the solution in interval notation.

Accepted Answer

(-infinity, -2] U [0, infinity)

Answer

[-2, 0]

Answer

(-infinity, -2) U (0, infinity)

Answer

(-infinity, 0] U [2, infinity)

Question 3

Solve x^2 - 2x 0. Write the solution in interval notation.

Accepted Answer

[0, 2]

Answer

(-infinity, 0] U [2, infinity)

Answer

(0, 2)

Answer

[-2, 0]

Question 4

Solve x^2 + 7x + 12 0. Write the solution in interval notation.

Accepted Answer

(-infinity, -4] U [-3, infinity)

Answer

[-4, -3]

Answer

(-infinity, -4) U (-3, infinity)

Answer

(-infinity, 3] U [4, infinity)

Question 5

Solve 3x^2 + 7x + 4 0. Write the solution in interval notation.

Accepted Answer

[-4/3, -1]

Answer

(-infinity, -4/3] U [-1, infinity)

Answer

(-4/3, -1)

Answer

[1, 4/3]

Question 6

Solve x^2 + 2x - 3 < 0. Write the solution in interval notation.

Accepted Answer

(-3, 1)

Answer

(-infinity, -3) U (1, infinity)

Answer

[-3, 1]

Answer

(-1, 3)

Question 7

To solve x^2 - 49 0, a student answered -7 x 7. What is the correct solution in interval notation?

Accepted Answer

(-infinity, -7] U [7, infinity)

Answer

[-7, 7]

Answer

(-7, 7)

Answer

(-infinity, -7) U (7, infinity)

Question 8

Solve x^2 + 2 < 0. Write the solution in interval notation.

Accepted Answer

the empty set

Answer

(-infinity, infinity)

Answer

(-infinity, 0) U (0, infinity)

Answer

[0, infinity)

Question 9

Solve x^2 + 12x + 37 > 0. Write the solution in interval notation.

Accepted Answer

(-infinity, infinity)

Answer

(-infinity, -6) U (-6, infinity)

Answer

[-6, infinity)

Answer

the empty set

Question 10

Solve x^2 - 5x + 6 0. Write the solution in interval notation.

Accepted Answer

(-infinity, 2] U [3, infinity)

Answer

[2, 3]

Answer

(-infinity, 2) U (3, infinity)

Answer

(-infinity, -3] U [-2, infinity)

Question 11

Solve 6x^2 + 5x - 6 > 0. Write the solution in interval notation.

Accepted Answer

(-infinity, -3/2) U (2/3, infinity)

Answer

(-3/2, 2/3)

Answer

(-infinity, -3/2] U [2/3, infinity)

Answer

(-infinity, -2/3) U (3/2, infinity)

Question 12

Solve x^2 + 6x + 10 < 0. Write the solution in interval notation.

Accepted Answer

the empty set

Answer

(-infinity, infinity)

Answer

(-infinity, -3) U (-3, infinity)

Answer

[-3, infinity)

Question 13

Solve x^2 - 9 < 0. Write the solution in interval notation.

Accepted Answer

(-3, 3)

Answer

(-infinity, -3) U (3, infinity)

Answer

[-3, 3]

Answer

(-4, 3)

Question 14

A parabola opens downward and crosses the x-axis at -6 and 8. For which x-values is y > 0? Write the answer in interval notation.

Accepted Answer

(-6, 8)

Answer

(-infinity, -6) U (8, infinity)

Answer

[-6, 8]

Answer

(-infinity, -6] U [8, infinity)

Question 15

A parabola opens downward and crosses the x-axis at -6 and 7. For which x-values is y < 0? Write the answer in interval notation.

Accepted Answer

(-infinity, -6) U (7, infinity)

Answer

(-6, 7)

Answer

(-infinity, -6] U [7, infinity)

Answer

[-6, 7]

Question 16

To solve x^2 - 81 0, a student answered -9 x 9. What is the correct solution in interval notation?

Accepted Answer

(-infinity, -9] U [9, infinity)

Answer

[-9, 9]

Answer

(-9, 9)

Answer

(-infinity, -9) U (9, infinity)

Question 17

Solve 9x^2 - 15x + 4 0. Write the solution in interval notation.

Accepted Answer

[1/3, 4/3]

Answer

(-infinity, 1/3] U [4/3, infinity)

Answer

(1/3, 4/3)

Answer

[-4/3, -1/3]

Question 18

To solve x^2 - 9 0, a student answered -3 x 3. What is the correct solution in interval notation?

Accepted Answer

(-infinity, -3] U [3, infinity)

Answer

[-3, 3]

Answer

(-3, 3)

Answer

(-infinity, -3) U (3, infinity)

Question 19

Solve x^2 - 8x + 20 < 0. Write the solution in interval notation.

Accepted Answer

the empty set

Answer

(-infinity, infinity)

Answer

(-infinity, 4) U (4, infinity)

Answer

[4, infinity)

Question 20

To solve x^2 - 25 0, a student answered -5 x 5. What is the correct solution in interval notation?

Accepted Answer

(-infinity, -5] U [5, infinity)

Answer

[-5, 5]

Answer

(-5, 5)

Answer

(-infinity, -5) U (5, infinity)

Question 21

Solve 2x^2 - 3x + 1 > 0. Write the solution in interval notation.

Accepted Answer

(-infinity, 1/2) U (1, infinity)

Answer

(1/2, 1)

Answer

(-infinity, 1/2] U [1, infinity)

Answer

(-infinity, -1) U (-1/2, infinity)

Question 22

Solve 10x^2 - 13x + 4 0. Write the solution in interval notation.

Accepted Answer

[1/2, 4/5]

Answer

(-infinity, 1/2] U [4/5, infinity)

Answer

(1/2, 4/5)

Answer

[-4/5, -1/2]

Question 23

Solve 2x^2 - x - 15 < 0. Write the solution in interval notation.

Accepted Answer

(-5/2, 3)

Answer

(-infinity, -5/2) U (3, infinity)

Answer

[-5/2, 3]

Answer

(-3, 5/2)

Question 24

Solve x^2 + 5x < 0. Write the solution in interval notation.

Accepted Answer

(-5, 0)

Answer

(-infinity, -5) U (0, infinity)

Answer

[-5, 0]

Answer

(0, 5)

Question 25

A parabola opens upward and crosses the x-axis at -3 and 2. For which x-values is y > 0? Write the answer in interval notation.

Accepted Answer

(-infinity, -3) U (2, infinity)

Answer

(-3, 2)

Answer

(-infinity, -3] U [2, infinity)

Answer

[-3, 2]

Question 26

A parabola opens downward and crosses the x-axis at 0 and 5. For which x-values is y > 0? Write the answer in interval notation.

Accepted Answer

(0, 5)

Answer

(-infinity, 0) U (5, infinity)

Answer

[0, 5]

Answer

(-infinity, 0] U [5, infinity)

Question 27

Solve x^2 - x - 6 < 0. Write the solution in interval notation.

Accepted Answer

(-2, 3)

Answer

(-infinity, -2) U (3, infinity)

Answer

[-2, 3]

Answer

(-3, 2)

Question 28

Solve x^2 - 4x + 3 < 0. Write the solution in interval notation.

Accepted Answer

(1, 3)

Answer

(-infinity, 1) U (3, infinity)

Answer

[1, 3]

Answer

(-3, -1)

Question 29

Solve x^2 - 8x + 20 > 0. Write the solution in interval notation.

Accepted Answer

(-infinity, infinity)

Answer

(-infinity, 4) U (4, infinity)

Answer

[4, infinity)

Answer

the empty set

Question 30

A parabola opens upward and crosses the x-axis at -3 and 6. For which x-values is y > 0? Write the answer in interval notation.

Accepted Answer

(-infinity, -3) U (6, infinity)

Answer

(-3, 6)

Answer

(-infinity, -3] U [6, infinity)

Answer

[-3, 6]

Question 31

A parabola opens upward and crosses the x-axis at -5 and 8. For which x-values is y < 0? Write the answer in interval notation.

Accepted Answer

(-5, 8)

Answer

(-infinity, -5) U (8, infinity)

Answer

[-5, 8]

Answer

(-infinity, -5] U [8, infinity)

Question 32

A parabola opens upward and crosses the x-axis at -7 and -5. For which x-values is y > 0? Write the answer in interval notation.

Accepted Answer

(-infinity, -7) U (-5, infinity)

Answer

(-7, -5)

Answer

(-infinity, -7] U [-5, infinity)

Answer

[-7, -5]

Question 33

To solve x^2 - 16 0, a student answered -4 x 4. What is the correct solution in interval notation?

Accepted Answer

(-infinity, -4] U [4, infinity)

Answer

[-4, 4]

Answer

(-4, 4)

Answer

(-infinity, -4) U (4, infinity)

Question 34

A parabola opens upward and crosses the x-axis at -1 and 0. For which x-values is y > 0? Write the answer in interval notation.

Accepted Answer

(-infinity, -1) U (0, infinity)

Answer

(-1, 0)

Answer

(-infinity, -1] U [0, infinity)

Answer

[-1, 0]

Question 35

Solve x^2 - 16 > 0. Write the solution in interval notation.

Accepted Answer

(-infinity, -4) U (4, infinity)

Answer

(-4, 4)

Answer

(-infinity, -4] U [4, infinity)

Answer

(-infinity, -5) U (4, infinity)

Question 36

Solve x^2 - 6x + 13 > 0. Write the solution in interval notation.

Accepted Answer

(-infinity, infinity)

Answer

(-infinity, 3) U (3, infinity)

Answer

[3, infinity)

Answer

the empty set

Question 37

Solve 10x^2 - 9x + 2 < 0. Write the solution in interval notation.

Accepted Answer

(2/5, 1/2)

Answer

(-infinity, 2/5) U (1/2, infinity)

Answer

[2/5, 1/2]

Answer

(-1/2, -2/5)

Question 38

Solve x^2 + 3x - 10 > 0. Write the solution in interval notation.

Accepted Answer

(-infinity, -5) U (2, infinity)

Answer

(-5, 2)

Answer

(-infinity, -5] U [2, infinity)

Answer

(-infinity, -2) U (5, infinity)

Question 39

Solve 3x^2 - 20x + 25 > 0. Write the solution in interval notation.

Accepted Answer

(-infinity, 5/3) U (5, infinity)

Answer

(5/3, 5)

Answer

(-infinity, 5/3] U [5, infinity)

Answer

(-infinity, -5) U (-5/3, infinity)

Question 40

Solve x^2 - 6x < 0. Write the solution in interval notation.

Accepted Answer

(0, 6)

Answer

(-infinity, 0) U (6, infinity)

Answer

[0, 6]

Answer

(-6, 0)

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Quadratic Inequalities

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Quadratic Inequalities

Ways to Play

Device Games: Students play on their phones

Blast Go

Zombie Escape

Avalanche

Maze Blast

Cave Climb

Blast Out

Mystery Auction

Tour Guide

Food Truck Rush

Tug of War

Alien Blast

Glacier Rush

Board Games: Teacher-led, projected to the class

Like what you see?

More like this

Bug Blast

BlastRace

BlastQuiz

BlastBoard

Seek & Destroy

Mystery Blast

Checkers

Texas Hold 'Em

Da Bomb

Castle Siege

Hot Potato

Market Mayhem

King of the Hill

Bank Heist

Top Corner