# How do you solve the inequality 10< 5-2d?

Feb 8, 2016

$d < - \frac{5}{2}$

#### Explanation:

$10 < 5 - 2 d$

Subtract 5 in both sides;

$5 < - 2 d$

Now divide by -2. In inequalities if we divide or multiply
by negative numbers, we must change the comparison sign, i.e.

$a > b \implies - a < - b$

So we have:

$- \frac{5}{2} > d$

Now we change again, for allowing the varaiable in the left side of the inequation:

$d < - \frac{5}{2}$