Question

Solve for x in this inequality. Show all your work and graph your solution. 4(x-3)<2x-4

Answer 1

Answer:

x<4

Step-by-step 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.