Question

Identify the solution set of: 7y + 1 < 8y - 9.

a. y < -10
b. y
c. y
d. y > -10

Answer 1

The solution set for the inequality 7y + 1 < 8y - 9 is y , which means any number greater than 10 is a solution to the inequality.

Step-by-step explanation:

To identify the solution set of the inequality 7y + 1 < 8y - 9, we need to solve for y. First, we begin by subtracting 7y from both sides of the inequality:

7y + 1 - 7y < 8y - 9 - 7y

1 < y - 9

Next, we add 9 to both sides to isolate y:

1 + 9 < y - 9 + 9

10 < y

Thus, the solution set is y > 10, which corresponds to answer choice (c) y .