Precalculus Examples

$x + 4 < 9$ , $x \geq 6$

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

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Subtract $4$ from both sides of the inequality.

$x < - 4 + 9$ or $x \geq 6$

Add $- 4$ and $9$ to get $5$ .

$x < 5$ or $x \geq 6$

The union consists of all of the elements that are contained in each interval.

$x < 5 or x \geq 6$

interval notation: $(- \infty, 5) \cup [6, \infty)$

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