Compound inequalities | Linear inequalities | Algebra I | Khan Academy

Compound Inequalities

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Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios.

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[DanyProGamerMC]

How would you put that in interval notation though? That was the most important part and it was left out.

[TheGoodGuys_gg]

Interval Notation: (−∞, ∞)

Technically, writing the interval notation as (−∞ < 4)U(-6 <= +∞) is correct. However, writing the interval notation in that format is redundant. Why? 4 is already included in +∞ and -6 is already included in −∞. Therefore the best way to communicate the solution of the compound inequality is by writing it in the interval notation of (−∞, ∞).

[SkylerMullins]

n-1>2n+6 or 7n-4>(or equal to)6n+1 how i do dat?

[megashogun]

Hey there is an less than Or equal to sign the question and you see what have you done