Question

How do you solve `( x + 5) > 91`?

Answer 1

`x>86`

Explanation:

To solve inequalities, initially pretend that the `>` sign is actually an `=` sign. Once you to that, you end up with:

`x+5 = 91`

Subtract 5 from both sides to isolate x and you get:

`x = 86`

Now that you've solved for `x`, you should replace the `>` sign.

BE CAREFUL because if you multiply or divide an inequality by a negative number, you need to reverse the inequality sign.

In your case, you didn't multiply or divide by a negative, so replace the `=` with `>`, and you end up with:

`x > 86`

To check this, you can plot it and see if the domain makes sense.

Looking at the original equation, you know you need a high, positive number as `x` in order to be more than 91. Your number line should start far right and continue to the right forever.