2000002205
Level:
A
Identify the solution set of the following inequality.
\[
|7x+1|+1>0
\]
\( \mathbb{R} \)
\( \emptyset \)
\( \mathbb{R} \setminus \left\{\frac{1}{7}\right\} \)
\( \mathbb{R} \setminus \left\{-\frac{1}{7}\right\} \)
Absolute Value Equations and Inequalities
2010008503
Level:
A
Choose the equation which has only one solution.
\( 5-|2x+2|-1=4 \)
\( 5-|2x+2|+1=5 \)
\( -|2x+2|+3=4 \)
\( -|2x+2|+1=0 \)
2010011701
Level:
A
How many natural numbers belong to the solution set of the inequality \( |3x-7| < 5 \)?
\(3\)
\(4\)
\(2\)
\(1\)
2010011702
Level:
A
Find the solution set of the inequality \( |15-5x| \leq 3 \).
\( \left[ \frac{12}5,\frac{18}5\right]\)
\( \left[ \frac{4}3,\frac{14}3\right]\)
\( \left[ -\frac{18}5,-\frac{12}5\right]\)
\( \left[ -\frac{14}3,-\frac{4}3\right]\)
2010011704
Level:
A
The solution set of an inequality is graphed on the number line. Determine this inequality.
\( |7-x| > 34 \)
\( |x+7| > 20 \)
\( |14-x| > 27 \)
\( |x+14| > 13 \)
2010011705
Level:
A
The graph shows the set of all real numbers that satisfy the inequality
\( |2x-14| \geq 6\). Determine \( k \).
\( k = 4\)
\( k = 0\)
\( k = -4\)
\( k = 6\)
9000027301
Level:
A
Identify the solution set of the following inequality.
\[
|x| < 3
\]
\(\left (-3,3\right )\)
\(\left (0,3\right )\)
\(\left [ -3,3\right ] \)
\(\left [ 0,3\right ] \)
9000027302
Level:
A
Identify the solution set of the following inequality.
\[
|x|\geq 5
\]
\(\left (-\infty ,-5\right ] \cup \left [ 5,\infty \right )\)
\(\left (-5,5\right )\)
\(\left (-\infty ,5\right )\cup \left (5,\infty \right )\)
\(\left [ -5,\infty \right )\)
9000027303
Level:
A
Identify the solution set of the following inequality.
\[
|x - 4|\leq 1
\]
\(\left [ 3,5\right ] \)
\(\left (-5,-3\right )\)
\(\left [ -5,-3\right ] \)
\(\left [ -1,4\right ] \)
9000027304
Level:
A
Identify the solution set of the following inequality.
\[
|x - 1| > 10
\]
\(\left (-\infty ,-9\right )\cup \left (11,\infty \right )\)
\(\left (-\infty ,9\right )\cup \left (11,\infty \right )\)
\(\left [ 11,\infty \right )\)
\(\left (-\infty ,10\right )\cup \left [ 11,\infty \right )\)