Compound inequalities

Intro Lesson
3:51
Lesson: 1
7:28
Lesson: 2
4:34
Lesson: 3
5:28
Lesson: 4
7:43
Lesson: 5
4:23
Lesson: 6
5:39
Lesson: 7
3:05
Lesson: 8
2:31

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Compound inequalities

Basic Concepts: Express linear inequalities graphically and algebraically, Solving one-step linear inequalities, Solving multi-step linear 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 $\;-3x \leq 18$

Compound inequalities

Compound inequalities

Lessons

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