# How do you solve -2d<5?

Apr 6, 2018

$d >$$- 2.5$

#### Explanation:

You would solve this just like an equation except there is a rule for inequalities that you must keep in mind. Every time you multiply or divide by a negative number, you must reverse the inequality symbol.

$- 2 d < 5$

Divide both sides by $- 2$ and turn around the sign

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

or

$d >$$- 2.5$

Apr 6, 2018

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

Here's how I did it:

#### Explanation:

Solving inequalities is similar to solving equations. However, there are a couple rules about the direction of the inequality you have to pay attention to:

• If you multiply/divide by a negative number, you must change the direction of the inequality (like $<$ to $>$)
• If you swap the left and right hand sides of the inequality, you must change the direction of the inequality

Keeping that in mind, let's solve this problem.

$- 2 d < 5$

• We know that $\frac{5}{-} 2$ is simply $- \frac{5}{2}$
• Notice that you are dividing by a negative number, so we need to change the direction of the sign to $>$ rather than $<$:
$d > - \frac{5}{2}$

Hope this helps!