 In this video we're going to look at how to solve inequalities. You should already know what these four symbols mean. However if you're unsure you may want to watch this video first. Inequalities are used throughout life. Any time that there are a range of values possible inequalities are involved rather than an equal sign. Like if you're calculating the time to get somewhere because your speed has to be less than the speed limit. Or if you have a monthly budget how much can you spend each day? So let's have a look at how to solve inequalities. We solve them in the exact same way as equations. In fact just think of the inequality as you would an equal sign which on a number line would look like this. Generally we don't touch the inequality. We just solve around it and there will be no mistakes. The only thing we have to keep an eye out for is negative x's. I personally recommend that you move the x to make it positive. So add x to both sides and solve from there. So x is larger than 1. There is another option. Imagine we'd started by moving the 3. We would have ended up with negative x. To make x positive we need to divide by the negative. When we divide by a negative we also need to change the direction of the inequality so x is bigger than 1. You just need to remember to change the direction of the inequality if you're multiplying or dividing by a negative. But we can just avoid this completely like we did in the first method and focus on moving the x to become positive earlier on. I definitely prefer this method. Here are two inequalities for you to solve. Pause the video, solve and click play when you're ready. How did you get on? Both we were given this question. We need to get x on its own in the middle. Whatever we do to one part we need to do to all of the other parts. So divide everything by 2 and that's our final answer. Or on this one we need to subtract 7 from every part and then divide every part by 3. Here are two for you to do. Just be careful with the second one though because you're going to have a negative x which means you're going to have to flip the direction of the inequalities. Pause the video, solve the questions and click play when you're ready. How did you get on? So that's all there is to solving inequalities. You just treat them like a normal equation with an equal sign. The only thing you need to be careful about is if you're multiplying or dividing by a negative then you need to change the direction of the inequalities. If you liked the video give it a thumbs up and don't forget to subscribe, comment below if you have any questions. Why not check out our Fuse school app as well. Until next time.