To solve |x| < a graphically, we must determine where the graph of the left-hand side lies below the graph of the right-hand side of the inequality |x| < a. The graph of y = |4 − x| lies above the gra...To solve |x| < a graphically, we must determine where the graph of the left-hand side lies below the graph of the right-hand side of the inequality |x| < a. The graph of y = |4 − x| lies above the graph of y = 5 for all values of x that lie either to the left of −1 or to the right of 9. As we did with \(|x| \leq a\), we can take the union of the solutions of |x| = a and |x| > a to find the solution of \(|x| \geq a\).
