Question

PLEASE HELP ASAP WITH QUESTION IN ATTACHED IMAGE

Answer 1

`\left|\cfrac{3}{4}n-2 \right| < 1\implies \pm\left( \cfrac{3}{4}n-2 \right) < 1 \\\\[-0.35em] ~\dotfill\\\\ \cfrac{3}{4}n-2 < 1\implies \cfrac{3n}{4} < 3\implies 3n < 12\implies n < \cfrac{12}{3}\implies n < 4 \\\\[-0.35em] ~\dotfill\\\\ -\left( \cfrac{3}{4}n-2 \right) < 1\implies \cfrac{3}{4}n-2\stackrel{ \stackrel{\textit{\small notice}}{\downarrow } }{ > }-1\implies \cfrac{3n}{4} > 1 \\\\\\ 3n > 4\implies n > \cfrac{4}{3} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill~ {\Large \begin{array}{llll} \cfrac{4}{3} < n < 4 \end{array}}~\hfill~`