# Compound inequalities

#### All in One Place

Everything you need for better grades in university, high school and elementary.

#### Learn with Ease

Made in Canada with help for all provincial curriculums, so you can study in confidence.

#### Instant and Unlimited Help

0/1
##### Intros
###### Lessons
1. Introduction to compound inequalities

i. Recap of inequalities symbols

ii. Ideas of AND and OR

0/8
##### Examples
###### Lessons
1. Evaluate Compound Inequalities: OR

Solve the following compound inequalities:

$4x - 16$ < $16\;$ OR $\;8x + 15 \leq -1$

1. Solve the following compound inequalities:

$4x + 5$ < $13\;$ OR $\;3x$ > $39$

1. Evaluate Compound Inequalities: AND

Solve the following compound inequalities:

$4x + 30$ > $34\;$ AND $\;12x - 6$ > $18$

1. Solve the following compound inequalities:

$-6x + 2$ > $20\;$ AND $\;13x + 11 \leq 50$

1. Analyze the Alternate Form of Compound Inequalities: AND

Solve the following compound inequalities:

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

1. Solve the following compound inequalities:

$-14$ < $1 - 5x \leq 11$

1. Special Cases: No solution, All Real Numbers

Solve the following compound inequalities:

$3x - 3$ < $9\;$ AND $\;6x + 1$ > $37$

1. Solve the following compound inequalities:

$5x + 6$ < $36\;$ OR $\;-3x \leq 18$

0%
##### Practice
###### Free to Join!
StudyPug is a learning help platform covering math and science from grade 4 all the way to second year university. Our video tutorials, unlimited practice problems, and step-by-step explanations provide you or your child with all the help you need to master concepts. On top of that, it's fun - with achievements, customizable avatars, and awards to keep you motivated.
• #### Easily See Your Progress

We track the progress you've made on a topic so you know what you've done. From the course view you can easily see what topics have what and the progress you've made on them. Fill the rings to completely master that section or mouse over the icon to see more details.
• #### Make Use of Our Learning Aids

###### Practice Accuracy

See how well your practice sessions are going over time.

Stay on track with our daily recommendations.

• #### Earn Achievements as You Learn

Make the most of your time as you use StudyPug to help you achieve your goals. Earn fun little badges the more you watch, practice, and use our service.
• #### Create and Customize Your Avatar

Play with our fun little avatar builder to create and customize your own avatar on StudyPug. Choose your face, eye colour, hair colour and style, and background. Unlock more options the more you use StudyPug.
###### 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.