Algebra Examples

$- 1 < x + 2 \leq 7$

Step 1

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

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Step 1.1

Subtract $2$ from each section of the inequality because it does not contain the variable we are trying to solve for.

$- 1 - 2 < x \leq 7 - 2$

Step 1.2

Subtract $2$ from $- 1$ .

$- 3 < x \leq 7 - 2$

Step 1.3

Subtract $2$ from $7$ .

$- 3 < x \leq 5$

Step 2

Use the inequality $- 3 < x \leq 5$ to build the set notation.

${x | - 3 < x \leq 5}$

Step 3