Answer:
[tex]x>-5[/tex]
Step-by-step explanation:
[tex]\frac{-1}{5} x+1<2[/tex]
Subtract 1 from both sides
[tex]\frac{-1}{5} x+1-1<2-1[/tex]
Simplify
[tex]\frac{-1}{5} x<1[/tex]
Multiply both sides by -1, which reverses the inequality also
[tex]\frac{-1}{5} x(-1)>1(-1)[/tex]
Simplify
[tex]\frac{1}{5} x>-1[/tex]
Multiply both sides by 5
[tex]5*\frac{1}{5} x>5(-1)[/tex]
Simplify
[tex]x>-5[/tex]
