Solve :-
-12x is greater than 30 when x is an integer.
(Dear experts, We obtain the Value of x as less than -2.5. So, the integers less than -2.5 are -3, -4, -5........ But in the ncert textbook the answer is something like that
{..... -4, -3})

Dear Student,
Please find below the solution to the asked query:

$$\begin{gathered} \mathrm{Answer} \mathrm{in} \mathrm{Ncert} \mathrm{in} \mathrm{correct}. \mathrm{As} -5 \mathrm{is} \mathrm{less} \mathrm{than} -4, \mathrm{hence} \mathrm{it} \mathrm{written} \mathrm{on} \mathrm{left} \mathrm{side}. \\ \mathrm{As} \mathrm{you} \mathrm{said}, \mathrm{we} \mathrm{will} \mathrm{get} \\ \mathrm{x}<-2.5 \\ \mathrm{And} \mathrm{as} \mathrm{x} \mathrm{is} \mathrm{integer}, \mathrm{hence} \\ \mathrm{x}=......,-6,-5,-4,-3. \\ -3 \mathrm{is} \mathrm{the} \mathrm{largest} \mathrm{value} \mathrm{in} \mathrm{our} \mathrm{answer}, \mathrm{hence} \mathrm{it} \mathrm{will} \mathrm{on} \mathrm{rightmost} \mathrm{side}. \\ \mathbf{\Rightarrow }\mathbf{x}\mathbf{\in }\left\{\mathbf{.}\mathbf{.}\mathbf{.}\mathbf{.}\mathbf{.}\mathbf{.}\mathbf{,}\mathbf{-}\mathbf{5}\mathbf{,}\mathbf{-}\mathbf{4}\mathbf{,}\mathbf{-}\mathbf{3}\right\} \end{gathered}$$

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