Rational equations and inequalities
Roots of Rational Equations
Submitted by michaela.bailova on Wed, 04/17/2024 - 21:592110015907
Level:
B
Identify the picture that shows the correct solution set of the following inequality. In each picture, the set of points corresponding to the solution set is marked in red.
\[
\frac{-x}
{x + 1} > 0
\]
2010015906
Level:
B
Find the solution set of the inequality.
\[ \left(x^2+4\right)\left(x^2+2\right)\leq0 \]
\( \emptyset\)
\( \left(-2;-\sqrt2\right)\)
\(\mathbb{R}\)
\( \left(-2;-\sqrt2\right) \cup \left(\sqrt2;2\right)\)
2010015905
Level:
B
Find the solution set of the following inequality.
\[
\frac{-1}
{x^2+x-20} \geq 0
\]
\( (-5;4)\)
\(\emptyset\)
\((-\infty;-5) \cup (4;\infty) \)
\((-4;5) \)
2010015904
Level:
B
An inequality is solved graphically as shown in the picture. The solution is marked in red. Choose the corresponding inequality.
\(3\leq \frac{x-2}
{x} \)
\(3\geq -\frac{2}
{x} \)
\(3\geq \frac{x-2}
{x} \)
\(3\leq -\frac{2}
{x} \)
2010015903
Level:
B
Find the solution set of the following inequality.
\[
\frac{x -2}
{x +3} > 1
\]
\(( -\infty; -3) \)
\((-3;\infty) \)
\(( -\infty; 2) \)
\((2;\infty) \)