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:
\[
26 -2\left (9x +4 \right ) > 6\left (3-3x\right )
\]
\( x \in \emptyset\)
\(x\in (-\infty ,0) \)
\(x\in \left (-\infty,\infty \right )\)
\(x\in (0,\infty )\)
2010011504
Level:
B
We are given the inequality \( 2x+\frac{3-4x}2 < \frac72 \). Decide which of the following inequalities is equivalent to the given inequality, i.e. which of the following inequalities was obtained from the given inequality by equivalent transformations.
\( 0\cdot x < 4 \)
\( 0\cdot x < -4\)
\( 0\cdot x > 4 \)
\( 2\cdot x > -4 \)