Solve the Inequality for x 3<x+4<=10

$3 < x + 4 \leq 10$

Subtract $4$ from each section of the inequality because it does not contain the variable we are trying to solve for.

$3 - 4 < x \leq 10 - 4$

Subtract $4$ from $3$ .

$- 1 < x \leq 10 - 4$

Subtract $4$ from $10$ .

$- 1 < x \leq 6$

The result can be shown in multiple forms.

Inequality Form:

$- 1 < x \leq 6$

Interval Notation:

$(- 1, 6]$