Solve the inequality. Graph the solution.

2 (5 - 3x) < x-4 (3 - x)

x>2

Step-by-step explanation:

The first thing you need to do is distribute.

2 time 5 and 2 time - 3x; - 4 times 3 and - 4 times - x.

After that you would get 10-6x < x-12+4x.

Now combine like terms. The only like terms are on the right side: x and 4x.

Now it's 10-6x < 5x-12.

Now put x on one side. I prefer to work with a positive x so I would move it to the right.

Now it's 10 < 11x-12.

Isolate the x. Move the - 12 first

Now it's 22<11x.

Divide by 11 next.

Now it's 11
Switch it around so it's easier to interpret for the graph.

Final written inequality is x>11.

Graph the line x = 11 but with a dotted line because it is not equal to 11.

Color in everything to the right of the line because everything greater than x is to the right.