Solving inequalities, what is x/18>27

Answer: x > 486

Explanation:

We have some number x and we divide that by 18. The result is larger than 27. To find possible values for x, we need to undo what is happening to x. The opposite of division is multiplication. We multiply both sides by 18 to cancel out the "18" on the left side, which will isolate x to get it to its own side.

This is what the steps look like

x/18 > 27

18 * (x/18) > 18*27 ... multiplying both sides by 18

x > 486 ... note the 18's cancel on the left side

So this means x is some number greater than 486.