Answer:
z < 6 [tex]\frac{5}{8}[/tex]
Step-by-step explanation:
62 - 7 > 8z + 2
To solve for z, we are going to follow the steps below;
62 - 7 > 8z + 2
55 > 8z + 2
subtract 2 from both-side of the inequality
55 - 2> 8z + 2 - 2
53 > 8z
Divide both-side of the inequality by 8
53/8 > 8z/8
(On the right-hand side of the inequality, 8 on the numerator will cancel-out 8 on the denominator leaving us with just z and on the right-hand side of the inequality 53 will be divided by 8)
53/8 > z
This implies z < [tex]\frac{53}{8}[/tex]
z < 6 [tex]\frac{5}{8}[/tex]
