Finite Math Examples

$- 7 < x - 3 < 5$

Step 1

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

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Step 1.1

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

$- 7 + 3 < x < 5 + 3$

Step 1.2

Add $- 7$ and $3$ .

$- 4 < x < 5 + 3$

Step 1.3

Add $5$ and $3$ .

$- 4 < x < 8$

Step 2

Convert the inequality to interval notation.

$(- 4, 8)$

Step 3