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

1 Answer
Nov 30, 2015

Answer:

#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#