Answer:
[tex]\[x<2\]
[/tex]
Step-by-step explanation:
Given inequality is [tex]\[-6(4-x)<-4(x+1)\][/tex]
Simplifying the inequality by rearranging the terms:
[tex]\[-24+6x<-4x-4\]
[/tex]
=> [tex]\[10x<20\]
[/tex]
=> [tex]\[x<\frac{20}{10}\]
[/tex]
=> [tex]\[x<2\]
[/tex]
So the given inequality can be simply expressed as [tex]\[x<2\]
[/tex]
Hence x can take all values in the domain which are less than 2.
