Find the solution set of the inequality, express the solution in set notation. -9y + 4 < - 7y -2 Show your work in vertical form.

Answer 1

To solve the inequality -9y + 4 < -7y - 2, we can first combine like terms on both sides of the inequality.

-9y + 4 < -7y - 2

Subtract -4 from both sides:

-9y + 4 - 4 < -7y - 2 - 4

Simplifying:

-9y < -7y - 6

Next, we can subtract -7y from both sides:

-9y + 7y < -7y - 6 - 7y

Simplifying:

-2y < -6 - 7y

Now, we can combine like terms again:

-2y + 7y < -6 - 7y + 7y

Simplifying:

5y < -6

Finally, we divide both sides by 5 to solve for y:

5y/5 < -6/5

Simplifying:

y < -6/5

The solution to the inequality is y < -6/5.

Expressing the solution in set notation, the solution set is:
{y | y is a real number and y < -6/5}