Finite Math Examples

$2 x + 3 > x - 5$

Step 1

Solve $x > - 8$ .

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Step 1.1

Move all terms containing $x$ to the left side of the inequality.

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Step 1.1.1

Subtract $x$ from both sides of the inequality.

$2 x + 3 - x > - 5$

Step 1.1.2

Subtract $x$ from $2 x$ .

$x + 3 > - 5$

Step 1.2

Move all terms not containing $x$ to the right side of the inequality.

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Step 1.2.1

Subtract $3$ from both sides of the inequality.

$x > - 5 - 3$

Step 1.2.2

Subtract $3$ from $- 5$ .

$x > - 8$

Step 2

Use the inequality $x > - 8$ to build the set notation.

${x | x > - 8}$

Step 3