Compound Inequalities

No, these are not inequalities that have been convicted and imprisoned inside a maximum security prison. Although some of them do have quite a rap sheet. Maybe we should keep our eyes on them. Compound inequalities are inequalities with two inequality signs and three sides to the equation, with the variable usually in the middle. Sound easy? It is.

LanguageEnglish Language
Systems of EquationsLinear Inequalities

Transcript

00:19

So when her student body government posted an opening for a leadership position called

00:23

“Inequality Solver”… [Sierra approaches job posting]

00:24

…she jumped on the opportunity.

00:26

Instead of sending in a resume and filling out the application, she sat down and started writing. [Sierra scribbling on paper]

00:31

Solve for x…where 2x + 3 has to be greater than or equal to negative 3,

00:38

AND less than or equal to 7.

00:41

To demonstrate her knack for solving complicated tasks…

00:45

…she decides to attack this inequality all at once. [Man and woman fighting in Martial Arts]

00:48

She starts by subtracting 3 from each part

00:50

of the equation to get 2x is greater than or equal to negative 6...

00:54

…and is less than or equal to 4. Then, to isolate x, she divides everything

00:59

by 2 to get x is greater than or equal to -3 and less than or equal to 2.

01:05

With that solving inequality passion in action… …Sierra is convinced that there’s no way [Students working in a group]

01:10

the student body government won’t want her as the new Inequality Solver.

01:14

She’s so cocky about it that she even pre-ordered a basket of sculpted fruit to thank them. [Students working together and basket of fruit appears]