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Question Number 17354 by ajfour last updated on 04/Jul/17
$$\mathrm{Solve}\:\mathrm{for}\:\mathrm{x}\:: \\ $$ $$\mid\mathrm{x}−\mathrm{1}\mid−\mid\mathrm{x}−\mathrm{2}\mid+\mid\mathrm{x}+\mathrm{1}\mid>\mid\mathrm{x}+\mathrm{2}\mid+\mid\mathrm{x}\mid−\mathrm{3}\:. \\ $$
Commented byajfour last updated on 04/Jul/17
$$\mathrm{my}\:\mathrm{answer}:\:\mathrm{x}\in\:\left(−\mathrm{3},\:\mathrm{3}\right)−\left\{−\mathrm{1},\:\mathrm{1}\:\right\} \\ $$ $$\mathrm{answer}\:\mathrm{in}\:\mathrm{book}:\:\:\mathrm{x}\in\:\left(\mathrm{1},\:\mathrm{3}\right)\:. \\ $$
Commented byajfour last updated on 04/Jul/17
Commented byajfour last updated on 04/Jul/17
$$\mathrm{isn}'\mathrm{t}\:\mathrm{this}\:\mathrm{graph}\:\mathrm{correct}\:\mathrm{for} \\ $$ $$\:\mathrm{f}\left(\mathrm{x}\right)=\mid\mathrm{x}−\mathrm{1}\mid−\mid\mathrm{x}−\mathrm{2}\mid+\mid\mathrm{x}+\mathrm{1}\mid \\ $$ $$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:−\mid\mathrm{x}+\mathrm{2}\mid−\mid\mathrm{x}\mid+\mathrm{3}\:\:\:\:\:\:? \\ $$
Commented bymrW1 last updated on 04/Jul/17
$$\mathrm{your}\:\mathrm{answer}\:\mathrm{and}\:\mathrm{graph}\:\mathrm{are}\:\mathrm{correct}. \\ $$
Commented byajfour last updated on 04/Jul/17
$$\mathrm{thank}\:\mathrm{you}\:\mathrm{sir},\:\mathrm{immensely}\:! \\ $$