# Compound inequalities

##### Intros

###### Lessons

##### Examples

###### Lessons

**Evaluate Compound Inequalities: OR**Solve the following compound inequalities:

$4x - 16$ < $16\;$

**OR**$\;8x + 15 \leq -1$- Solve the following compound inequalities:
$4x + 5$ < $13\;$

**OR**$\;3x$ > $39$ **Evaluate Compound Inequalities: AND**Solve the following compound inequalities:

$4x + 30$ > $34\;$

**AND**$\;12x - 6$ > $18$- Solve the following compound inequalities:
$-6x + 2$ > $20\;$

**AND**$\;13x + 11 \leq 50$ **Analyze the Alternate Form of Compound Inequalities: AND**Solve the following compound inequalities:

$-5 \leq 3x + 1 \leq 7$

- Solve the following compound inequalities:
$-14$ < $1 - 5x \leq 11$

**Special Cases: No solution, All Real Numbers**Solve the following compound inequalities:

$3x - 3$ < $9\;$

**AND**$\;6x + 1$ > $37$- Solve the following compound inequalities:
$5x + 6$ < $36\;$

**OR**$\;-3x \leq 18$

##### Practice

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###### Topic Notes

If the relationship between the compound inequalities is OR and they point towards the same direction, you will pick the inequality which has a broader range.

If the relationship between the compound inequalities is AND and they point towards the same direction, you will pick the inequality which has a narrower range.

When you multiply or divide a negative number, the inequality symbol will be reversed.

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