Write an inequality that you can solve using the Division Property of Inequality where the direction of the inequality symbol must be reversed.

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Solution

Step : Write an inequality
We have,
$\Rightarrow - 2 x < 4 \Rightarrow \frac{- 2 x}{- 2} > \frac{4}{- 2} [D i v i d e b y - 2 o n b o t h s i d e s] ∴ x > - 2$
Hence, the required inequality is $- 2 x < 4$ .

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Write an inequality that you can solve using the Division Property of Inequality where the direction of the inequality symbol must be reversed.

Step : Write an inequalityWe have,⇒-2x<4⇒-2x-2>4-2Divideby-2onbothsides∴x>-2Hence, the required inequality is -2x<4.

Step : Write an inequality
We have,
$\Rightarrow - 2 x < 4 \Rightarrow \frac{- 2 x}{- 2} > \frac{4}{- 2} [D i v i d e b y - 2 o n b o t h s i d e s] ∴ x > - 2$
Hence, the required inequality is $- 2 x < 4$ .