# How do you solve the inequality -13+ 7y< 1?

May 7, 2018

$y < 2$

#### Explanation:

You only need to isolate the variable: add $13$ to both sides to get

$\setminus \cancel{- 13} + 7 y \setminus \cancel{+ 13} < 1 + 13 \setminus \iff 7 y < 14$

Now divide both sides by $7$. Note that, since $7$ is positive, the inquality doesn't change from $<$ to $>$:

$\setminus \frac{\cancel{7} y}{\cancel{7}} < \setminus \frac{\cancel{14} 2}{\cancel{7}}$

and so the answer is $y < 2$