Algebra Examples

$7 < x + 5 < 11$

Step 1

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

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Step 1.1

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

$7 - 5 < x < 11 - 5$

Step 1.2

Subtract $5$ from $7$ .

$2 < x < 11 - 5$

Step 1.3

Subtract $5$ from $11$ .

$2 < x < 6$

Step 2

Convert the inequality to interval notation.

$(2, 6)$

Step 3