9000027305
Level:
A
Identify the solution set of the following inequality.
\[
|x + 2| < 1
\]
\(\left (-3;-1\right )\)
\(\left (1;3\right )\)
\(\left [ -1;3\right ] \)
\(\left [ -2;0\right ] \)
Absolute value equations and inequalities
9000027306
Level:
A
Identify the solution set of the following inequality.
\[
|x + 3|\geq 6
\]
\(\left (-\infty ;-9\right ] \cup \left [ 3;\infty \right )\)
\(\left (-\infty ;3\right ] \cup \left [ 6;\infty \right )\)
\(\left (-\infty ;-3\right )\cup \left (9;\infty \right )\)
\(\left [ -3;6\right ] \)
9000027307
Level:
A
Identify the solution set of the following inequality.
\[
|2x - 6|\leq 3
\]
\(\left [ 1.5;4.5\right ] \)
\(\left [ 0;6\right ] \)
\(\left (2;4\right )\)
\(\left [ -1;5\right ] \)
9000027308
Level:
A
Identify the solution set of the following inequality.
\[
|2x - 1| > 5
\]
\(\left (-\infty ;-2\right )\cup \left (3;\infty \right )\)
\(\left (-\infty ;-4.5\right )\cup \left (5.5;\infty \right )\)
\(\left (1.5;\infty \right )\)
\(\left (-\infty ;0\right )\cup \left [ 5;\infty \right )\)
9000027309
Level:
A
Identify the solution set of the following inequality.
\[
|3x + 2| < -1
\]
\(\emptyset \)
\(\left (1;3\right )\)
\(\left [ -1;3\right ] \)
\(\left [ -2;0\right ] \)
9000027310
Level:
A
Identify the solution set of the following inequality.
\[
|2x + 11| > 0
\]
\(\left (-\infty ;-5.5\right )\cup \left (-5.5;\infty \right )\)
\(\left (-2;11\right )\)
\(\left (-\infty ;-11\right )\cup \left (11;\infty \right )\)
\(\emptyset \)
9000078501
Level:
A
Write the following set in an interval notation.
\[
\{x\in \mathbb{R};|x| > 2\}
\]
\((-\infty ;-2)\cup (2;\infty )\)
\([ 2;\infty ] \)
\((2;\infty )\)
\((-\infty ;-2] \cup [ 2;\infty )\)
9000078502
Level:
A
Write the following set in an interval notation.
\[
\{x\in \mathbb{R};|x|\leq 4\}
\]
\([ - 4;4] \)
\((-4;4)\)
\((-\infty ;-4] \)
\((-\infty ;-4)\)
9000078503
Level:
A
Write the following set in an interval notation.
\[
\{x\in \mathbb{R};|x - 3|\geq 5\}
\]
\((-\infty ;-2] \cup [ 8;\infty )\)
\((-\infty ;-8] \cup [ 2;\infty )\)
\([ 2;\infty )\)
\([ 8;\infty )\)
9000078504
Level:
A
Write the following set in an interval notation.
\[
\{x\in \mathbb{R};|x + 10| > 7\}
\]
\((-\infty ;-17)\cup (-3;\infty )\)
\((-\infty ;3)\cup (17;\infty )\)
\((-3;\infty )\)
\((17;\infty )\)