Exemplary Question Types
1.
\(3(x-1)+2x<x-11\)
\(\Rightarrow\text{S.S.}=?\)
2.
\(x\in\mathbb{Z}\)
\(\samefrac{x+2}{3}-\samefrac{1}{6}>\samefrac{x-1}{2}\)
\(\Rightarrow\max(x)=?\)
3.
\((x-3)\samefrac{1}{6}<(x-2)\samefrac{1}{2}\)
\(\Rightarrow\text{S.S.}=?\)
4.
\(-2<\samefrac{4}{x-3}\)
\(\Rightarrow\text{S.S.}=?\)
5.
\(-2<\samefrac{2x-1}{3}\le2\)
\(\Rightarrow\text{S.S.}=?\)
6.
\(2x-5<x+8<2x+2\)
\(\Rightarrow\text{S.S.}=?\)
7.
\(a^2\cdot b>0\)
\(a^3\cdot c^2<0\)
\(a\cdot c<0\)
What are the signs of a, b, c respectively?
8.
\(x,y\in\mathbb{R}\)
\(-3<x<5\)
\(-4<y<2\)
\((2x-3y)\in\mathbb{Z}\)
\(\Rightarrow\max(2x-3y)\cdot\min(2x-3y)=?\)