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Question Number 91469 by Zainal Arifin last updated on 01/May/20

−5<((4−3x)/2)<l

$$−\mathrm{5}<\frac{\mathrm{4}−\mathrm{3x}}{\mathrm{2}}<\mathrm{l} \\ $$

Commented byabdomathmax last updated on 01/May/20

⇔−10<4−3x<2 ⇔−14<−3x<−2⇔  2<3x<14 ⇔(2/3)<x<((14)/3)

$$\Leftrightarrow−\mathrm{10}<\mathrm{4}−\mathrm{3}{x}<\mathrm{2}\:\Leftrightarrow−\mathrm{14}<−\mathrm{3}{x}<−\mathrm{2}\Leftrightarrow \\ $$ $$\mathrm{2}<\mathrm{3}{x}<\mathrm{14}\:\Leftrightarrow\frac{\mathrm{2}}{\mathrm{3}}<{x}<\frac{\mathrm{14}}{\mathrm{3}} \\ $$

Commented byZainal Arifin last updated on 01/May/20

thank you sir

$$\mathrm{thank}\:\mathrm{you}\:\mathrm{sir} \\ $$

Commented byturbo msup by abdo last updated on 01/May/20

you are welcome

$${you}\:{are}\:{welcome} \\ $$

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