9000018004
Level:
B
Find the maximal integer which satisfies the following inequality:
\[
2x - 5 < 4 - x
\]
\(2\)
\(- 3\)
\(- 2\)
\(3\)
Linear equations and inequalities
9000018001
Level:
B
Solve the following inequality.
\[
-3x > 6
\]
\(x\in \left (-\infty ;-2\right )\)
\(x\in \left (-\infty ;-2\right ] \)
\(x\in \left (-2;\infty \right )\)
\(x\in \left [ -2;\infty \right )\)
9000018002
Level:
B
Assuming positive integer \(x\),
solve the following inequality.
\[
-5x\geq - 1
\]
\(x\in \emptyset \)
\(x\in \left \{0\right \}\)
\(x\in \left (0; \frac{1}
{5}\right ] \)
\(x\in \left \{\frac{1}
{5}\right \}\)
9000018003
Level:
B
Assuming \(x\in \left (0;3\right ] \),
solve the following inequality.
\[
6 - 2x\leq 3x - 4
\]
\(x\in \left [ 2;3\right ] \)
\(x\in \left (0;3\right ] \)
\(x\in \left (0;2\right ] \)
\(x\in \left (0;\infty \right )\)
9000018006
Level:
B
Assuming negative integer \(x\),
solve the following inequality:
\[
x - 2 > 1 - x - 8
\]
\(x\in \left \{-2;-1\right \}\)
\(x\in \left \{-3;-2;-1\right \}\)
\(x\in \left \{-3;-2\right \}\)
\(x\in \left \{-1\right \}\)
9000018010
Level:
C
The salary of Peter has been increased by
\(\$2\: 400\). The salary of
Jane increased by \(3\, \%\)
and this increase has been bigger than the increase of the Peter's salary. In the
following list identify a possible old salary of Jane.
\(\$81\: 000\)
\(\$80\: 000\)
\(\$9\: 000\)
\(\$8\: 000\)
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.
\[
\frac{x - 5}
{2} \leq 2\left (x + 1\right )
\]
