Solve the following inequality and shade the region to which it applies on a graph. 10x(squared) < 64x - 24

Step 1: Simplify the quadratic by dividing by 2. 5x² < 32x - 12 Step 2: Move all terms onto one side of the quadratic. 5x² - 32x + 12 < 0 Step 3: Factorise the quadratic. (5x - 2)(x - 6) < 0 Step 4: Graph and shade below the x axis to satisfy the inequality.