Test 5
1.
\(\samefrac{x}{x-1}+2(x+2)>\samefrac{1}{x-1}+2x\)
\(\Rightarrow\text{S.S.}=?\)
A) \(\varnothing\)B) \(\left[5,+\infty\right)\)C) \(\mathbb{R}\setminus\left\{0\right\}\)D) \(\mathbb{R}\)E) \(\mathbb{R}\setminus\left\{1\right\}\)
2.
\(\samefrac{5}{x-3}+3(x-1)\ge\samefrac{x+2}{x-3}+x\)
\(\Rightarrow\text{S.S.}=?\)
A) \(\varnothing\)B) \(\mathbb{R}\)C) \(\left[2,\infty\right)\)D) \(\left[2,\infty\right)\setminus\{3\}\)E) \(\mathbb{R}\setminus\left\{3\right\}\)
3.
\(\samefrac{x}{x-4}+3(x-2)>\samefrac{4}{x-4}+2(x-1)\)
\(\Rightarrow\text{S.S.}=?\)
A) \(\varnothing\)B) \(\mathbb{R}\)C) \(\left(1,\infty\right)\)D) \(\left(1,\infty\right)\setminus\{4\}\)E) \(\left(3,\infty\right)\setminus\{4\}\)
4.
\(\samefrac{x}{x-13}+\samefrac{2}{x-1}-1<\samefrac{13}{x-13}+\samefrac{x+1}{x-1}\)
\(\Rightarrow\text{S.S.}=?\)
A) \(\varnothing\)B) \(\mathbb{R}\)C) \(\mathbb{R}\setminus\left\{13\right\}\)D) \(\mathbb{R}\setminus\left\{1\right\}\)E) \(\mathbb{R}\setminus\left\{1,13\right\}\)
5.
\(\samefrac{x}{x-12}+\samefrac{3}{x-3}<\samefrac{12}{x-12}+\samefrac{x}{x-3}+3\)
\(\Rightarrow\text{S.S.}=?\)
A) \(\varnothing\)B) \(\mathbb{R}\)C) \(\mathbb{R}\setminus\left\{3,12\right\}\)D) \(\left(3,12\right)\)E) \(\left(12,\infty\right)\)
6.
\(x>2\)
\(\samefrac{3}{x-2}>\samefrac{4}{x-1}\)
\(\Rightarrow\text{S.S.}=?\)
A) \(\left(2,\infty\right)\)B) \(\left(3,\infty\right)\)C) \(\left(2,5\right)\)D) \(\left(5,\infty\right)\)E) \(\left(1,\infty\right)\)
7.
\(\samefrac{2}{x-3}>\samefrac{1}{4}\)
\(\Rightarrow\text{S.S.}=?\)
A) \(\left(-\infty,11\right)\)B) \(\left(11,+\infty\right)\)C) \(\left(3,11\right)\)D) \(\left(3,+\infty\right)\)E) \(\left[3,11\right]\)
8.
\(\samefrac{1}{4}<\samefrac{3}{x-2}\)
\(\Rightarrow\text{S.S.}=?\)
A) \(\left(-\infty,14\right)\)B) \(\left(14,\infty\right)\)C) \(\left(2,14\right)\)D) \(\left(-\infty,14\right)\setminus\{2\}\)E) \(\varnothing\)