Answer:
Correct option: Subtract Two-fifths from both sides.
Step-by-step explanation:
The inequality is:
[tex]-4x+\frac{2}{5}>\frac{5}{10}[/tex]
The best first step to solve the inequality will be to collect the like term on one side.
To do this, we must subtract [tex]\frac{2}{5}[/tex] from both sides of the inequality.
[tex]-4x+\frac{2}{5}-\frac{2}{5}>\frac{5}{10}-\frac{2}{5}\\\\-4x>\frac{25-20}{50}\\\\-4x>\frac{1}{10}[/tex]
Now solve for x as follows:
[tex]-4x>\frac{1}{10}\\\\x<\frac{1}{10}\times \frac{-1}{4}\\\\x<-\frac{1}{40}[/tex]
Thus, the value of x lies in the range [tex]x<-\frac{1}{40}[/tex].
