Solve the inequality for y.

-14 < - 7y/6 - 6
Simplify your answer as much as possible.

1 answer

We can solve the inequality for y as follows:

-14 < -7y/6 - 6

First, we can add 6 to both sides to isolate the term with y:

-14 + 6 < -7y/6

Simplifying:

-8 < -7y/6

Next, we can multiply both sides by -6/7. Since we are multiplying by a negative number, we need to flip the inequality:

(-8) * (-6/7) > y

Simplifying:

48/7 > y

Thus, the solution to the inequality is:

y < 48/7

or, in interval notation:

(-∞, 48/7)