Solve for y 9<y+7>16

$9 < y + 7 > 16$

Step 1

Move all terms not containing $y$ from the center section of the inequality.

Subtract $7$ from each section of the inequality because it does not contain the variable we are trying to solve for.

$9 - 7 < y > 16 - 7$

Subtract $7$ from $9$ .

$2 < y > 16 - 7$

Subtract $7$ from $16$ .

$2 < y > 9$

Step 2

Since $y > 2$ covers the entire solution set, drop the rest of the interval from the solution.

$y > 2$

Step 3

The result can be shown in multiple forms.

Inequality Form:

$y > 2$

Interval Notation:

$(2, \infty)$

Step 4