Question

Solve for x in this inequality. Show all your work and

graph your solution.
4(x-3)<2x-4

Answer 1

x<4

Explanation:

To solve for x in the inequality equation, the terms should be rearranged such that x is on one side and integers are on the other side.

First, expand 4(x-3).

This will obtain:

`4x - 12 < 2x - 4`

Now, shift x terms and integers on each side.

`4x - 2x < - 4 + 12`

After simplifying, it will get:

`2x < 8`

Finally, we can solve for x.

`x < 4`

We can also draw the respective graph (please don't mind my drawings), where the area shaded in green is the range.