Question

How do you solve `-2d<5`?

Answer 1

`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.

`-2d<5`

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

`d>` `-5/2`

or

`d>` `-2.5`

Answer 2

`d > -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.

`-2d < 5`

• We know that `5/-2` is simply `-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 > -5/2`

Hope this helps!