10z+10<

8z+6

To solve the inequality, we need to isolate the variable "z" on one side of the inequality sign.

Given: 10z + 10 < 8z + 6

Subtract 8z from both sides:
10z - 8z + 10 < 8z - 8z + 6
2z + 10 < 6

Subtract 10 from both sides:
2z + 10 - 10 < 6 - 10
2z < -4

Finally, divide both sides of the inequality by 2:
2z/2 < -4/2
z < -2

Therefore, the solution to the inequality is z < -2.