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.

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

Subtract $4$ from $9$ .

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

The union consists of all of the elements that are contained in both intervals.

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

Interval Notation: $(- \infty, 5) \cup [6, \infty)$

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