Solve the System of Inequalities y-5<-4 or y-5>=1

$y - 5 < - 4$ or $y - 5 \geq 1$

Move all terms not containing $y$ to the right side of the inequality.

Add $5$ to both sides of the inequality.

$y < - 4 + 5$ or $y - 5 \geq 1$

Add $- 4$ and $5$ .

$y < 1$ or $y - 5 \geq 1$

Move all terms not containing $y$ to the right side of the inequality.

Add $5$ to both sides of the inequality.

$y < 1$ or $y \geq 1 + 5$

Add $1$ and $5$ .

$y < 1$ or $y \geq 6$

The result can be shown in multiple forms.

Inequality Form:

$y < 1 or y \geq 6$

Interval Notation:

$(- \infty, 1) \cup [6, \infty)$