Question

How do you solve the inequality `8y-15 <27+2y`?

Answer 1

`y < 7`

Explanation:

Rule 1 for inequality manipulation:
you can add or subtract the same amount to both sides of an inequality without effecting the validity or orientation of the inequality.

Rule 2 for inequality manipulation:
You can also multiply or divide both sides of an inequality by any amount greater than zero without effecting the validity or orientation of the inequality.

Given
`color(white)("XXX")8y-15 < 27 +2y`

Subtract `2y` from both sides:
`color(white)("XXX")6y -15 < 27`

Add `15` to both sides:
`color(white)("XXX")6y < 42`

Dividing both sides by `6`
`color(white)("XXX")y < 42`