Question

Solve the inequality. Graph the solution.
2(5 – 3x) < x-4(3 - x)​

Answer 1

x>2

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<x.

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.