# How do you solve the inequality #3t + 1 < t + 12#?

##### 2 Answers

Jun 2, 2018

#### Answer:

#### Explanation:

The key realization here is that, for the most part, we can treat this like an equation. If we had

we would subtract

Dividing both sides by

Hope this helps!

Jun 2, 2018

#### Answer:

#### Explanation:

#"collect terms in t on the left side and numeric values on"#

#"the right side"#

#"subtract "t" from both sides"#

#3t-t+1< cancel(t)cancel(-t)+12#

#2t+1< 12#

#"subtract 1 from both sides"#

#2t<11#

#"divide both sides by 2"#

#t<11/2" is the solution"#

#t in(-oo,11/2)larrcolor(blue)"in interval notation"#