Question Number 91471 by Zainal Arifin last updated on 01/May/20
$$\mid\mathrm{2x}−\mathrm{7}\mid>\mathrm{3} \\ $$
Answered by Rasheed.Sindhi last updated on 01/May/20
$$\mid\mathrm{2x}−\mathrm{7}\mid>\mathrm{3} \\ $$$$\mathrm{2}{x}−\mathrm{7}>\mathrm{3}\:\:\:\:\mid\:\:\:\:\:−\mathrm{2}{x}+\mathrm{7}>\mathrm{3} \\ $$$$\mathrm{2}{x}−\mathrm{7}>\mathrm{3}\: \\ $$$$\mathrm{2}{x}>\mathrm{10} \\ $$$$\:\:{x}>\mathrm{5} \\ $$$$−\mathrm{2}{x}+\mathrm{7}>\mathrm{3} \\ $$$$\mathrm{2}{x}−\mathrm{7}<−\mathrm{3} \\ $$$$\mathrm{2}{x}<−\mathrm{3}+\mathrm{7}=\mathrm{4} \\ $$$${x}<\mathrm{2} \\ $$$${x}>\mathrm{5}\:\mid\:{x}<\mathrm{2} \\ $$