Solve the inequality $(x-3)< \dfrac{x}{3}$

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courageTyro

Asked: November 26, 20202020-11-26T20:59:40+00:00 2020-11-26T20:59:40+00:00In: Algebra

Solve the inequality $(x-3)< \dfrac{x}{3}$

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Solve the inequality $(x-3)< \dfrac{x}{3}$

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Sengemegz · Accepted Answer · 2020-12-01T21:19:50+00:00

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Sengemegz Moderator

2020-12-01T21:19:50+00:00Added an answer on December 1, 2020 at 9:19 pm

$(x-3)< \dfrac{x}{3}$
cross multiply and open bracket
$3(x-3)< x$
$\Rightarrow 3x-9< x$
collect like terms
$3x-x< 9$
$\Rightarrow 2x< 9$
divide both sides by 2
$\therefore x< \dfrac{9}{2}$

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