2000005301
Level:
A
In real numbers, find the solution set of the following equation.
\[\frac{x^2+1}{x^2-9}=0\]
\( \emptyset \)
\( \pm 1\)
\( \pm 3\)
\( -1\)
Rational equations and inequalities
Domains of Expressions
Submitted by ladislav.foltyn on Sat, 03/02/2019 - 16:56Rational Inequalities I
Submitted by ladislav.foltyn on Sat, 03/02/2019 - 16:48Rational Equations
Submitted by ladislav.foltyn on Thu, 02/28/2019 - 15:28Sums of Roots of Equations
Submitted by ladislav.foltyn on Mon, 02/18/2019 - 10:57Quadratic and Rational Equations
Submitted by ladislav.foltyn on Mon, 02/18/2019 - 10:031003181006
Level:
C
Find the solution set of the given inequality.
\[ \frac{4x-1}{|2x+1|} \leq -(2x+1) \]
\( \left(-\infty;-\frac12\right)\cup\left(-\frac12;0\right] \)
\( \left(-\infty; 0\right] \)
\( \left(-\frac12; 0\right] \)
\( \left(-\infty;-\frac12\right) \)
1003181005
Level:
C
Find the solution set of the given inequality.
\[ \frac{3-x}{|x-2|}\leq 1 \]
\( \left[\frac52;\infty\right) \)
\( (-\infty;2)\cup\left[\frac52;\infty\right) \)
\( (-\infty;0]\cup(3;\infty) \)
\( (2;\infty) \)
1003181004
Level:
C
Find the solution set of the given inequality.
\[ \frac{|5-2x|}{1-x} > 1 \]
\( (-\infty;1) \)
\( (-\infty;1)\cup\left(\frac52;\infty\right) \)
\( \left(-\infty;\frac52\right) \)
\( \left(\frac52;\infty\right) \)
1003181003
Level:
C
Find the solution set of the given inequality.
\[ \frac{\left(x^2-1\right)(x+3)}{|x+1|2x} \leq 0 \]
\( [-3;-1)\cup(0;1] \)
\( (-3; -1)\cup(0; 1) \)
\( [-3;0)\cup[1;\infty) \)
\( (-\infty; -3] \)