9000021704
Level:
B
Solve the following inequality.
\[
\frac{x + 1}
{4} -\frac{x + 2}
{3} > \frac{x + 3}
{6} -\frac{3x - 4}
{12}
\]
\(x\in \emptyset \)
\(x\in \mathbb{R}\)
\(x\in (-\infty ,29)\)
\(x\in \{0\}\)
Linear Equations and Inequalities
9000021705
Level:
B
Solve the following inequality in the set of negative integers.
\[
\frac{3x - 4}
{2} -\frac{2x - 5}
{3} + \frac{3 - 4x}
{5} > 0
\]
\(x\in \{ - 7,-6,-5,-4,-3,-2,-1\}\)
\(x\in \emptyset \)
\(x\in [ - 8,0] \)
\(x\in \{ - 8,-7,-6,-5,-4,-3,-2,-1\}\)
9000021709
Level:
B
Find all the values of \(x\)
for which the expression \(\frac{x+5}
{4} -\frac{7-3x}
{12} \)
is not bigger than \(\frac{2x+4}
{6} + \frac{x-3}
{3} \).
\(x\in [ 6,\infty )\)
\(x\in (6,\infty )\)
\(x\in (-\infty ,6)\)
\(x\in (-\infty ,6] \)
9000021710
Level:
B
Find the maximal integer \(x\)
which satisfies the following inequality.
\[
\frac{x + 6}
{3} -\frac{x - 1}
{2} < 2 - 0.2x
\]
\(- 16\)
\(- 15\)
\(- 14\)
\(14\)
9100018007
Level:
B
Graph the solution of the following inequality.
\[
-x < 3
\]
9100018008
Level:
B
Graph the solution of the following inequality.
\[
\frac{x}
{2}\geq 3
\]
9100018009
Level:
B
Graph the solution of the following inequality.
\[
0\geq 3x
\]
9100018108
Level:
B
Graph the solution of the following inequality.
\[
\frac{x - 5}
{2} \leq 2\left (x + 1\right )
\]
9100018109
Level:
B
Solve the following inequality and choose the diagram that shows the correct solution set marked in red on the number line.
\[
1 -\frac{x - 4}
{5} \geq \frac{4x}
{5}
\]
9100021805
Level:
B
Identify a picture that shows the correct solution set of the following inequality. The solution set is marked in red.
\[
\frac{1}
{2}x + 1\leq 3x - 4
\]
