Precalculus Examples

$2 x - 5 > x + 2$

Step 1

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

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Step 1.1

Subtract $x$ from both sides of the inequality.

$2 x - 5 - x > 2$

Step 1.2

Subtract $x$ from $2 x$ .

$x - 5 > 2$

Step 2

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

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Step 2.1

Add $5$ to both sides of the inequality.

$x > 2 + 5$

Step 2.2

Add $2$ and $5$ .

$x > 7$

Step 3

Convert the inequality to interval notation.

$(7, \infty)$

Step 4