Test 6
1.
\(\samefrac{5}{x-2}\le\samefrac{-5}{7}\)
\(\Rightarrow\text{S.S.}=?\)
A) \(\left(-\infty,2\right)\)B) \(\left[-5,2\right]\)C) \(\left(-5,2\right)\)D) \(\left[-5,2\right)\)E) \(\left(-5,+\infty\right)\)
2.
\(-\samefrac{7}{4}<\samefrac{7}{x-5}\)
\(\Rightarrow\text{S.S.}=?\)
A) \(\left(-\infty,1\right)\)B) \(\left(-1,1\right)\)C) \(\left(-\infty,1\right)\cup\left(5,\infty\right)\)D) \(\left(5,\infty\right)\)E) \(\varnothing\)
3.
\(y=2x-4\)
\(-2<x<6\)
\(\Rightarrow ?<y<?\)
A) \(-2<y<6\)B) \(-12<y<4\)C) \(-8<y<8\)D) \(2<y<8\)E) \(-2<y<8\)
4.
\(2<x<7\)
\(3x=y+4\)
\(\Rightarrow ?<y<?\)
A) \(2<y<7\)B) \(2<y<14\)C) \(6<y<21\)D) \(6<y<17\)E) \(2<y<17\)
5.
\(x=2y+1\)
\(2<2x-1<5\)
\(\Rightarrow ?<y<?\)
A) \(\samefrac{1}{4}<y<1\)B) \(1<y<3\)C) \(4<y<7\)D) \(3<y<4\)E) \(3<y<7\)
6.
\(\left.\begin{aligned}3x+5<14\\-x+7\le2\end{aligned}\right\}\)
\(\Rightarrow\text{S.S.}=?\)
A) \(\left(3,5\right]\)B) \(\left[3,5\right)\)C) \(\mathbb{R}\)D) \(\mathbb{R}\setminus[3,5)\)E) \(\varnothing\)
7.
\(\left.\begin{aligned}2x-3\ge11\\x-4<6\end{aligned}\right\}\)
\(\Rightarrow\text{S.S.}=?\)
A) \(\left[2,4\right)\)B) \(\left(2,4\right)\)C) \(\left[7,10\right)\)D) \(\varnothing\)E) \(\mathbb{R}\)
8.
\(\left.\begin{aligned}13<3x-2\\2x-2<x-5\end{aligned}\right\}\)
\(\Rightarrow\text{S.S.}=?\)
A) \(\varnothing\)B) \(\mathbb{R}\)C) \(\mathbb{R}\setminus[-3,5]\)D) \(\left(-\infty,-3\right)\)E) \(\left(5,\infty\right)\)