Test 29
1.
\(7\le|2x+3|<11\)
\(\Rightarrow\text{S.S.}=?\)
A) \(\left[-5,2\right]\)B) \(\left[-7,-5\right]\cup\left[2,4\right]\)C) \(\left(-5,-2\right)\)D) \(\left[-7,-5\right)\cup\left(2,4\right]\)E) \(\left(-7,-5\right]\cup\left[2,4\right)\)
2.
\(5\le|2x-1|<7\)
\(\Rightarrow\text{S.S.}=?\)
A) \(\left[3,4\right)\)B) \(\mathbb{R}\setminus[5,7)\)C) \(\left(-3,2\right]\)D) \(\varnothing\)E) \(\left(-3,-2\right]\cup\left[3,4\right)\)
3.
\(-2\le|x-1|<3\)
\(\Rightarrow\text{S.S.}=?\)
A) \(\left[-2,3\right]\)B) \(\left[-3,3\right)\)C) \(\left(-2,4\right)\)D) \(\left(1,\infty\right)\)E) \(\varnothing\)
4.
\(||a-2|-5|<1\)
\(\Rightarrow\text{S.S.}=?\)
A) \(\left(-4,-2\right)\)B) \(\left(-4,8\right)\)C) \(\left(6,8\right)\)D) \(\left(-2,6\right)\)E) \(\left(-4,-2\right)\cup\left(6,8\right)\)
5.
\(\samefrac{|2-x|+|3x-2|}{1+|x-2|}\le1\)
\(\Rightarrow\text{S.S.}=?\)
A) \(\left[\samefrac{1}{3},1\right]\)B) \(\left[-1,1\right]\)C) \(\left[-2,2\right]\)D) \(\left[\samefrac{1}{2},2\right]\)E) \(\varnothing\)
6.
\(\samefrac{|x|-5}{|4-x|}<0\)
\(\Rightarrow\text{S.S.}=?\)
A) \(\left(-5,5\right)\)B) \(\left(-5,5\right)\setminus\{4\}\)C) \(\left(-4,4\right)\cup\left(-5,5\right)\)D) \(\varnothing\)E) \(\mathbb{R}\setminus\left\{4\right\}\)
7.
\(\samefrac{|2x|+5}{|x|}>3\)
\(\Rightarrow\text{S.S.}=?\)
A) \(\left(-3,3\right)\)B) \(\left(-1,3\right)\)C) \(\varnothing\)D) \(\mathbb{R}\setminus\left\{0\right\}\)E) \(\left(-5,5\right)\setminus\{0\}\)
8.
\(|x|<3\)
\(-x+2y=3\)
\(\Rightarrow ?<y<?\)
A) \(\left(0,3\right)\)B) \(\left(-6,3\right)\)C) \(\left(-3,0\right)\)D) \(\left(-3,3\right)\)E) \(\left(0,2\right)\)