solve x^2 - 2 < 2

Change the inequality to an equalsx² -2=2solve as normalx² -2=2-2x² -4=0factorise(x-2)(x+2)=0so x=-2 and x=2However, how do you know if the answer is bigger or smaller than -2 and 21st draw the graph for when the equation equals 0. ( on whiteboard)2nd Look at the question, is the inequality less than or greater than? Make sure before doing this that the x with the highest power is on the left!3rd if the inequality is less than, highlight the section of the graph below the x axis/ below zero. This is a beard. if the inequality is greater than, then highlight the section of the graph above the x-axis/ above zero. This is side burns! (see whiteboard)4th the highlighted section of the graph indicates the solution therefore, in this case, we have a beard and so the solution is -2<x<2 If we had side burns the solutions would be x<-2 and x>2. 5th Be careful with < or <=. Use the same one that is used in the question.