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

1 Answer
Nov 30, 2015

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