which of the following inequalities is equivalent to -4x+2<-22-x?

Answer:
[tex]3x>-24[/tex]
Step-by-step explanation:
Given
[tex]-4x+2<-22-x[/tex]
Required
Solve for x
[tex]-4x+2<-22-x[/tex]
We start by taking like terms
[tex]-4x + x < -22 - 2[/tex]
[tex]-3x < -24[/tex]
Divide through by -1: Note, the inequality sign will change:
[tex]3x>-24[/tex]