Free Printable SOLVING QUADRATIC INEQUALITIES

1.

Which of the following graph is the same as the interval $\left[-5,4\right]$ ?

a)

b)

c)

d)

2.

Which of the following shows the graph of the solution set of $x^2-5x-14>0$ ?

a)

b)

c)

d)

3.

Which of the following is the same as the given graph?

a)

$\left(-2,\ 3\right)$

b)

$\left[-2,\ 3\right]$

c)

$\left(-\infty,\ -2\right]\cup\left[3,\infty\right)$

d)

$\left(-\infty,\ -2\right)\cup\left(3,\ \infty\right)$

4.

Which is the solution set of $\left(x+3\right)\left(x-2\right)>0$ ?

a)

$\left(-2,\ 3\right)$

b)

$\left(-3,2\right)$

c)

$\left(-\infty,-3\right)\cup\left(2,\infty\right)$

d)

$\left(-\infty,-3\right)\cup\left(2,\infty\right)$

5.

Which of the following is the same as the given graph? (check all that apply)

a)

$\left\{x|\ x\ge-5<\cup\ \ x\le4\right\}$

b)

$\left[-5,\ 4\right]$

c)

$\left(-\infty,\ 5\right]\ \cup\ \left[4,\ \infty\right)$

d)

$\left\{x|-5\le\ x\le4\right\}$

6.

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

a)

b)

c)

d)

7.

Match the graph with its inequality.

a)

11 < a

b)

11 > a

c)

11 ≤ a

d)

11 ≥ a

8.

What inequality does the number line graph represent?

a)

x ≤ 4

b)

x ≥ -4

c)

x < -4

d)

x < 4

9.

What inequality does the number line graph represent?

a)

x > 5

b)

x < −5

c)

x ≥ 5

d)

x ≥ −5

10.

When writing in interval notation, what kind of brackets do I use for:

or ≤ or ≥

a)

[ ]

b)

( )

11.

Write the interval notation for the graph?

a)

[-3, 2)

b)

-3<x<2

c)

(-∞, -3] U (2, ∞)

d)

x > 2 or x < -3

12.

Write the following solution in interval notation:

x ≥ -3

a)

[ -3, ∞ )

b)

( -3, ∞ )

c)

( -∞ , -3 )

d)

( -∞ , -3]

13.

What inequality does the number line graph represent?

a)

x ≤ 4

b)

x ≥ -4

c)

x < -4

d)

x < 4

14.

Pick the correct letter for:
6 > x

a)

A

b)

B

c)

C

d)

D

15.

Which graph represents the inequality 2x + 3 < 7

a)

b)

c)

d)

SOLVING QUADRATIC INEQUALITIES

Total questions: 15

Worksheet time: 45mins

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