2000002203
Level:
C
Identify the solution set of the following inequality.
\[
|x + 2| + |x + 3| \leq 0
\]
\( \emptyset \)
\( \mathbb{R} \)
\( \mathbb{R} \setminus \{-3;-2\} \)
\( \{-3;-2\} \)
Absolute value equations and inequalities
2000002202
Level:
A
Identify the solution set of the following inequality.
\[
|x-25| \leq 0
\]
\( \{25\} \)
\( \emptyset \)
\( \mathbb{R} \setminus \{25\} \)
\( (-\infty;-25) \)
2000002201
Level:
A
Identify the solution set of the following inequality.
\[
|2x+5|>0
\]
\( \mathbb{R} \setminus \{-2.5\} \)
\( \emptyset \)
\( (-2.5; \infty) \)
\( (-\infty;-2.5 ) \)
2000001105
Level:
A
Choose the equation that has only one solution.
\(- |x-3|=0 \)
\( |x-3|+1=0 \)
\( |x-3|=3 \)
\( 3+|x-3|=0 \)
2000001104
Level:
A
Choose the equation that has no solution.
\( |3x-5|=-1 \)
\( |3x-5|=0\)
\( |3x-5|=1 \)
\( 3|x+5|=0 \)
2000001103
Level:
A
Choose the equation that has only positive solutions.
\( |x-5|=3\)
\( |x-3|=5\)
\( |x-2|=2\)
\( |x+10|=8\)
2000001102
Level:
A
Find the solution set of the equation \( |x-1|=12 \).
\(\{-11;13\}\)
\(\{-13;11\}\)
\(\{-11\}\)
\(\{13\}\)
2000001101
Level:
A
Find the solution set of the equation \(|x + 1| = 0\).
\(\{-1\}\)
\(\emptyset\)
\(\{-1;1\}\)
\(\{1\}\)
Absolute Value Equations
Submitted by ladislav.foltyn on Sat, 03/02/2019 - 16:241003162907
Level:
B
Find the sum of all the roots of the equation \( |x+4|=|2x-7| \).
\( 12 \)
\( 11 \)
\( -11 \)
\( 23 \)