# How do you write the inequality and solve "the sum of 3 times a number and 4 is between -8 and 10#?

##### 1 Answer

Jan 16, 2017

#### Answer:

#### Explanation:

First off we have the statement "3 times a number plus 4".

Part of the fun of math is variables. It can be any symbol you want to stand for the number. For simplicity I chose the letter n for "number".

So the English statement "3 times a number plus 4" becomes

Since

So,

and

these two statements can be combined into

Now it's time to solve.

Now we can divide by 3, because it's a common factor

So now we know that n is between -4 and 2. The inequality is simplified.