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.
\[
\{x\in \mathbb{R},|x + 10| > 7\}
\]
\((-\infty ,-17)\cup (-3,\infty )\)
\((-\infty ,3)\cup (17,\infty )\)
\((-3,\infty )\)
\((17,\infty )\)