Question

a) "Creative management, whether in public administration or private industry depends on
methods of inquiry that maintain objectivity, clarity, accuracy and consistency."
Discuss the statement and examine the significance of research.

Answer 1

Given :-

• $\mathsf{Given : \dfrac{x + 2}{6} - \bigg(\dfrac{11 - x}{3} - \dfrac{1}{4}\bigg) = \dfrac{3x - 4}{12}}$

To Find :-

• Value of x

Solution :-

$\mathsf\pink{{\: \: \: \: \: \: \: \dfrac{x + 2}{6} - \bigg(\dfrac{11 - x}{3} - \dfrac{1}{4}\bigg) = \dfrac{3x - 4}{12}}}$

$\mathsf{\: \: \: \: \: \: \: :\implies \dfrac{x + 2}{6} - \bigg(\dfrac{4(11 - x) - 3}{12}\bigg) = \dfrac{3x - 4}{12}}$

$\mathsf{\: \: \: \: \: \: \: :\implies \dfrac{x + 2}{6} - \bigg(\dfrac{44 - 4x - 3}{12}\bigg) = \dfrac{3x - 4}{12}}$

$\mathsf{\: \: \: \: \: \: \: :\implies \dfrac{x + 2}{6} - \bigg(\dfrac{41 - 4x}{12}\bigg) = \dfrac{3x - 4}{12}}$

$\mathsf{\: \: \: \: \: \: \: :\implies \bigg(\dfrac{x + 2}{6} - \dfrac{(41 - 4x)}{12}\bigg) = \dfrac{3x - 4}{12}}$

$\mathsf{\: \: \: \: \: \: \: :\implies \dfrac{2(x + 2) - (41 - 4x)}{12} = \dfrac{3x - 4}{12}}$

$\mathsf{\: \: \: \: \: \: \: \: :\implies \dfrac{2x + 4 - 41 + 4x}{12} = \dfrac{3x - 4}{12}}$

$\mathsf{\: \: \: \: \: \: \: \: :\implies \dfrac{-37 + 6x}{12} = \dfrac{3x - 4}{12}}$

$\mathsf{\: \: \: \: \: \: \: \: :\implies {-37 + 6x} = {3x - 4}}$

$\mathsf{\: \: \: \: \: \: \: \: :\implies 6x - 3x = 37 - 4}$

$\mathsf{ \: \: \: \: \: \: \: \: :\implies 3x = 33}$

$\mathsf{\: \: \: \: \: \: \: \: :\implies x = \cancel{\dfrac{33}{3}}}$

$\pink{\: \: \: \: \: \: \: \: \: :\implies\sf x=11}$

$\therefore\:\underline{\textsf{ Value of x is \textbf{11}}}.$