Precalculus Examples

$x \geq 1$ , $x - 1 < 7$

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

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Add $1$ to both sides of the inequality.

$x \geq 1$ and $x < 1 + 7$

Add $1$ and $7$ .

$x \geq 1$ and $x < 8$

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

$1 \leq x < 8$

Interval Notation: $[1, 8)$

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