Solve the Inequality for k -4<k+3<8

$- 4 < k + 3 < 8$

Subtract $3$ from each section of the inequality because it does not contain the variable we are trying to solve for.

$- 4 - 3 < k < 8 - 3$

Subtract $3$ from $- 4$ .

$- 7 < k < 8 - 3$

Subtract $3$ from $8$ .

$- 7 < k < 5$

The result can be shown in multiple forms.

Inequality Form:

$- 7 < k < 5$

Interval Notation:

$(- 7, 5)$