1103049505
Level:
B
Which graph shows in red the solution set of the following inequality?
\[ 2x \geq \frac{6-4x}2 \]
Linear equations and inequalities
1103049506
Level:
B
Which graph shows in red the solution set of the following inequality? (Note: If the graph does not show in red any interval, then it means that the inequality has no solution.)
\[ \frac x3-\frac{2x+1}6 < 4 \]
2000002901
Level:
B
Determine all the natural numbers that are solutions of the inequality:
\[
-\frac{x}{7} < \frac{5}{7}
\]
\( x \in \mathbb{N} \)
\( x \in \{0;1;2;3;4\} \)
\( x \in \{1;2;3;4\} \)
\( x \in \mathbb{N} \cup \{0;-1;-2;-3;-4\} \)
2000002902
Level:
B
Determine the smallest integer that is the solution of the inequality:
\[
-5.2x < 1.3\]
\( 0\)
\( -1\)
\( 4\)
\( 1\)
2000002903
Level:
B
Determine the largest integer that is the solution of the inequality:
\[
-0.16x > 6.4
\]
\( -41\)
\( -39 \)
\( -40\)
\( -42\)
2000002904
Level:
B
Determine the largest integer that is the solution of the inequality:
\[
-1.2x > -1.44
\]
\( 1\)
\( 2 \)
\( 0 \)
\( -1\)
2000002905
Level:
B
Determine all the natural numbers that are solutions of the inequality:
\[
-\frac{9}{8} \leq -\frac{x}{4}
\]
\( x \in \{ 1;2;3;4\} \)
\( x \in \mathbb{N} \)
\( x \in \{0; 1;2;3;4\} \)
\( x \in \{ 1;2;3;4;5\} \)
2010011501
Level:
B
Solve the following inequality:
\[
6 -3\left (2x +4 \right ) \leq 2\left (3-3x\right )
\]
\(x\in \left (-\infty;\infty \right )\)
\(x\in (-\infty ;-1]\)
\(x\in [ -1;\infty )\)
\( x \in \emptyset\)
2010011502
Level:
B
Solve the following inequality:
\[
26 -2\left (9x +4 \right ) > 6\left (3-3x\right )
\]
\( x \in \emptyset\)
\(x\in (-\infty ;0) \)
\(x\in \left (-\infty;\infty \right )\)
\(x\in (0;\infty )\)
2010011503
Level:
B
Assuming \(x\in \mathbb{R}\),
find the solution set of the following system.
\[
3 x -1 \leq 2x + 7 \leq 7x-8
\]
\(x\in [ 3;8] \)
\(x\in (-\infty ;3] \)
\(x\in [ 8;\infty )\)
\( x \in \mathbb{R}\setminus (3;8)\)