Final answer:
To solve the inequalities 16y - 18 > 46 and 14y + 6 < 20, we first isolate y by performing basic arithmetic operations and then simplifying. The solutions are y > 4 or y < 1, representing the range of values that y can take.
Step-by-step explanation:
The given inequalities are 16y - 18 > 46 and 14y + 6 < 20. We will solve each inequality step by step.
Solving the first inequality:
16y - 18 > 46
Add 18 to both sides:
16y > 46 + 18
16y > 64
Divide both sides by 16:
y > 4
Solving the second inequality:
14y + 6 < 20
Subtract 6 from both sides:
14y < 20 - 6
14y < 14
Divide both sides by 14:
y < 1
Therefore, the solution to the system of inequalities is y > 4 or y < 1.