Answer:
x=1
Step-by-step explanation:
1
Rearrange terms
{\color{#c92786}{2-3x}}=3x-4
{\color{#c92786}{-3x+2}}=3x-4
2
Subtract
from both sides
3
Simplify
4
3x
5
6
Divide both sides by the same factor
7
solution:
2-3x=3x-4
6-3x=3x
6=6x
1=x
x = 0
You should actually have
Now, remember that is always non-negative, so for any value of . This means for any , and so
i.e. f(x) is at most -6, and hence negative for all .