| 4x - 3 | < 7 this says that
-7 < 4x - 3 < 7 add 3 to everything
-4 < 4x < 10 divide everything by 4
-1 < x < 10/4
-1< x < 5/2
-1 < x < 2.5
Here's the graph.........https://www.desmos.com/calculator/uydosekj8h
Note that the absolute value function is less than 7 between x = -1 and x = 2.5