Algebra Examples

$y - 1 \geq 7$ or $y + 3 < - 1$

Step 1

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

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Step 1.1

Add $1$ to both sides of the inequality.

$y \geq 7 + 1$ or $y + 3 < - 1$

Step 1.2

Add $7$ and $1$ .

$y \geq 8$ or $y + 3 < - 1$

Step 2

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

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Step 2.1

Subtract $3$ from both sides of the inequality.

$y \geq 8$ or $y < - 1 - 3$

Step 2.2

Subtract $3$ from $- 1$ .

$y \geq 8$ or $y < - 4$

Step 3

The union consists of all of the elements that are contained in each interval.

$y < - 4$ or $y \geq 8$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$y < - 4 or y \geq 8$

Interval Notation:

$(- \infty, - 4) \cup [8, \infty)$

Step 5