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- Introduction to Inequalities

# Compound inequalities

- Intro Lesson3:51
- Lesson: 17:28
- Lesson: 24:34
- Lesson: 35:28
- Lesson: 47:43
- Lesson: 54:23
- Lesson: 65:39
- Lesson: 73:05
- Lesson: 82:31

### Compound inequalities

#### Lessons

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.

- Introduction
__Introduction to compound inequalities__i. Recap of inequalities symbols

ii. Ideas of

**AND**and**OR** - 1.
**Evaluate Compound Inequalities: OR**Solve the following compound inequalities:

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

**OR**$\;8x + 15 \leq -1$ - 2.Solve the following compound inequalities:
$4x + 5$ < $13\;$

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

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

**AND**$\;12x - 6$ > $18$ - 4.Solve the following compound inequalities:
$-6x + 2$ > $20\;$

**AND**$\;13x + 11 \leq 50$ - 5.
**Analyze the Alternate Form of Compound Inequalities: AND**Solve the following compound inequalities:

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

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

- 7.
**Special Cases: No solution, All Real Numbers**Solve the following compound inequalities:

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

**AND**$\;6x + 1$ > $37$ - 8.Solve the following compound inequalities:
$5x + 6$ < $36\;$

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