[tex]Solution,z+\frac{1}{8}>\frac{1}{5}\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:z>\frac{3}{40}\:\\ \:\mathrm{Decimal:}&\:z>0.075\\ \:\mathrm{Interval\:Notation:}&\:\left(\frac{3}{40},\:\infty \:\right)\end{bmatrix}[/tex]
[tex]Steps:[/tex]
[tex]z+\frac{1}{8}>\frac{1}{5}[/tex]
[tex]\mathrm{Subtract\:}\frac{1}{8}\mathrm{\:from\:both\:sides}, z+\frac{1}{8}-\frac{1}{8}>\frac{1}{5}-\frac{1}{8}[/tex]
[tex]\mathrm{Simplify}, z+\frac{1}{8}-\frac{1}{8}=z, \frac{1}{5}-\frac{1}{8}=\frac{3}{40}, z>\frac{3}{40}[/tex]
[tex]\mathrm{The\:Correct\:Answer\:is\:z>\frac{3}{40}}[/tex]
[tex]\mathrm{Hope\:This\:Helps!!!}[/tex]
