How do you solve the inequality $- 2 k + 12 < 30$ $-2k+12<30$ ?

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Answer 1 · 2017-09-30T16:13:05

$k > - 9$ $k> -9$

To solve you need to get the k by itself.
To do this we can start by subtracting 12 from both sides.

$- 2 k + 12 - 12 < 30 - 12$ $-2k+12-12<30-12$
$- 2 k < 18$ $-2k<18$

Now we need to divide by -2. BUT as this is an inequality the inequality sign needs to be flipped when you divide both sides by a negative number.

$\frac{- 2 k}{- 2} > \frac{18}{- 2}$ $(-2k)/(-2)>18/(-2)$
$k > - 9$ $k> -9$

How do you solve the inequality −2k+12<30-2k+12<30?