Convert to Interval Notation 7<x+5<11

$7 < x + 5 < 11$

Step 1

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

Subtract $5$ from each section of the inequality because it does not contain the variable we are trying to solve for.

$7 - 5 < x < 11 - 5$

Subtract $5$ from $7$ .

$2 < x < 11 - 5$

Subtract $5$ from $11$ .

$2 < x < 6$

Step 2

Convert the inequality to interval notation.

$(2, 6)$

Step 3