Question

Graph 3(8-4x)<6(x-5)

Answer 1

First simplify this inequality:

`3(8-4x)<6(x-5),\\ \\3\cdot 8-3\cdot 4x<6\cdot x-6\cdot 5,\\ \\24-12x<6x-30,\\ \\-12x-6x<-30-24,\\ \\-18x<-54,\\ \\18x>54,\\ \\x>(54)/(18),\\ \\x>3.`

Now you can graph this inequality. Draw the vertical dashed line x=3 and shade the region to the right from this line. This is exactly the region that represents the solution of inequality (see attached diagram for details).