# How do you solve the inequality y-5<-4 or y-5>1?

May 29, 2017

Solution : $y < 1 \mathmr{and} y > 6$. In interval notation : $\left(- \infty , 1\right) \cup \left(6 , \infty\right)$
$y - 5 < - 4 \mathmr{and} y < - 4 + 5 \mathmr{and} y < 1$ OR
$y - 5 > 1 \mathmr{and} y > 1 + 5 \mathmr{and} y > 6$
Solution : $y < 1 \mathmr{and} y > 6$. In interval notation : $\left(- \infty , 1\right) \cup \left(6 , \infty\right)$ [Ans]